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Finding the Third Proportional to 15,807.66 and 34,962.89

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Solution

The third proportional to 15,807.66 and 34,962.89 is: 77,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.66 : 34,962.89 = 34,962.89 : x
  2. Step 2: Convert to fraction form
    15,807.66/34,962.89 = 34,962.89/x
  3. Step 3: Cross multiply
    15,807.66x = 34,962.89 × 34,962.89
  4. Step 4: Simplify right side
    15,807.66x = 1,222,403,720.86
  5. Step 5: Solve for x
    x = 1,222,403,720.86/15,807.66
  6. Step 6: Final answer
    x = 77,329.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.