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Finding the Third Proportional to 27,324 and 59,386

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Solution

The third proportional to 27,324 and 59,386 is: 129,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 59,386 = 59,386 : x
  2. Step 2: Convert to fraction form
    27,324/59,386 = 59,386/x
  3. Step 3: Cross multiply
    27,324x = 59,386 × 59,386
  4. Step 4: Simplify right side
    27,324x = 3,526,696,996
  5. Step 5: Solve for x
    x = 3,526,696,996/27,324
  6. Step 6: Final answer
    x = 129,069.57

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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.