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Finding the Third Proportional to 27,260 and 59,374

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Solution

The third proportional to 27,260 and 59,374 is: 129,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260 : 59,374 = 59,374 : x
  2. Step 2: Convert to fraction form
    27,260/59,374 = 59,374/x
  3. Step 3: Cross multiply
    27,260x = 59,374 × 59,374
  4. Step 4: Simplify right side
    27,260x = 3,525,271,876
  5. Step 5: Solve for x
    x = 3,525,271,876/27,260
  6. Step 6: Final answer
    x = 129,320.32

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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.