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Finding the Third Proportional to 30,572.25 and 47,048.25

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Solution

The third proportional to 30,572.25 and 47,048.25 is: 72,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.25 : 47,048.25 = 47,048.25 : x
  2. Step 2: Convert to fraction form
    30,572.25/47,048.25 = 47,048.25/x
  3. Step 3: Cross multiply
    30,572.25x = 47,048.25 × 47,048.25
  4. Step 4: Simplify right side
    30,572.25x = 2,213,537,828.06
  5. Step 5: Solve for x
    x = 2,213,537,828.06/30,572.25
  6. Step 6: Final answer
    x = 72,403.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.