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Finding the Third Proportional to 57,767.55 and 77,963.13

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Solution

The third proportional to 57,767.55 and 77,963.13 is: 105,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767.55 : 77,963.13 = 77,963.13 : x
  2. Step 2: Convert to fraction form
    57,767.55/77,963.13 = 77,963.13/x
  3. Step 3: Cross multiply
    57,767.55x = 77,963.13 × 77,963.13
  4. Step 4: Simplify right side
    57,767.55x = 6,078,250,077.94
  5. Step 5: Solve for x
    x = 6,078,250,077.94/57,767.55
  6. Step 6: Final answer
    x = 105,219.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.