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Finding the Third Proportional to 26,516 and 58,552

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Solution

The third proportional to 26,516 and 58,552 is: 129,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 58,552 = 58,552 : x
  2. Step 2: Convert to fraction form
    26,516/58,552 = 58,552/x
  3. Step 3: Cross multiply
    26,516x = 58,552 × 58,552
  4. Step 4: Simplify right side
    26,516x = 3,428,336,704
  5. Step 5: Solve for x
    x = 3,428,336,704/26,516
  6. Step 6: Final answer
    x = 129,293.13

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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.