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Finding the Third Proportional to 27,280 and 59,464

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Solution

The third proportional to 27,280 and 59,464 is: 129,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,280 : 59,464 = 59,464 : x
  2. Step 2: Convert to fraction form
    27,280/59,464 = 59,464/x
  3. Step 3: Cross multiply
    27,280x = 59,464 × 59,464
  4. Step 4: Simplify right side
    27,280x = 3,535,967,296
  5. Step 5: Solve for x
    x = 3,535,967,296/27,280
  6. Step 6: Final answer
    x = 129,617.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.