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Finding the Third Proportional to 30,235.50 and 48,542.63

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Solution

The third proportional to 30,235.50 and 48,542.63 is: 77,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235.50 : 48,542.63 = 48,542.63 : x
  2. Step 2: Convert to fraction form
    30,235.50/48,542.63 = 48,542.63/x
  3. Step 3: Cross multiply
    30,235.50x = 48,542.63 × 48,542.63
  4. Step 4: Simplify right side
    30,235.50x = 2,356,386,441.89
  5. Step 5: Solve for x
    x = 2,356,386,441.89/30,235.50
  6. Step 6: Final answer
    x = 77,934.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.