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Finding the Third Proportional to 30,720.52 and 48,846.80

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Solution

The third proportional to 30,720.52 and 48,846.80 is: 77,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.52 : 48,846.80 = 48,846.80 : x
  2. Step 2: Convert to fraction form
    30,720.52/48,846.80 = 48,846.80/x
  3. Step 3: Cross multiply
    30,720.52x = 48,846.80 × 48,846.80
  4. Step 4: Simplify right side
    30,720.52x = 2,386,009,564.95
  5. Step 5: Solve for x
    x = 2,386,009,564.95/30,720.52
  6. Step 6: Final answer
    x = 77,668.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.