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Finding the Third Proportional to 27,418 and 59,534

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Solution

The third proportional to 27,418 and 59,534 is: 129,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418 : 59,534 = 59,534 : x
  2. Step 2: Convert to fraction form
    27,418/59,534 = 59,534/x
  3. Step 3: Cross multiply
    27,418x = 59,534 × 59,534
  4. Step 4: Simplify right side
    27,418x = 3,544,297,156
  5. Step 5: Solve for x
    x = 3,544,297,156/27,418
  6. Step 6: Final answer
    x = 129,268.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.