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Finding the Third Proportional to 58,795.13 and 77,257.13

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Solution

The third proportional to 58,795.13 and 77,257.13 is: 101,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,795.13 : 77,257.13 = 77,257.13 : x
  2. Step 2: Convert to fraction form
    58,795.13/77,257.13 = 77,257.13/x
  3. Step 3: Cross multiply
    58,795.13x = 77,257.13 × 77,257.13
  4. Step 4: Simplify right side
    58,795.13x = 5,968,663,363.27
  5. Step 5: Solve for x
    x = 5,968,663,363.27/58,795.13
  6. Step 6: Final answer
    x = 101,516.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.