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Finding the Third Proportional to 52,016.75 and 77,545

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Solution

The third proportional to 52,016.75 and 77,545 is: 115,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016.75 : 77,545 = 77,545 : x
  2. Step 2: Convert to fraction form
    52,016.75/77,545 = 77,545/x
  3. Step 3: Cross multiply
    52,016.75x = 77,545 × 77,545
  4. Step 4: Simplify right side
    52,016.75x = 6,013,227,025
  5. Step 5: Solve for x
    x = 6,013,227,025/52,016.75
  6. Step 6: Final answer
    x = 115,601.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.