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Finding the Third Proportional to 52,866.75 and 77,839.88

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Solution

The third proportional to 52,866.75 and 77,839.88 is: 114,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866.75 : 77,839.88 = 77,839.88 : x
  2. Step 2: Convert to fraction form
    52,866.75/77,839.88 = 77,839.88/x
  3. Step 3: Cross multiply
    52,866.75x = 77,839.88 × 77,839.88
  4. Step 4: Simplify right side
    52,866.75x = 6,059,046,140.02
  5. Step 5: Solve for x
    x = 6,059,046,140.02/52,866.75
  6. Step 6: Final answer
    x = 114,609.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.