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Finding the Third Proportional to 27,486 and 59,346

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Solution

The third proportional to 27,486 and 59,346 is: 128,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486 : 59,346 = 59,346 : x
  2. Step 2: Convert to fraction form
    27,486/59,346 = 59,346/x
  3. Step 3: Cross multiply
    27,486x = 59,346 × 59,346
  4. Step 4: Simplify right side
    27,486x = 3,521,947,716
  5. Step 5: Solve for x
    x = 3,521,947,716/27,486
  6. Step 6: Final answer
    x = 128,136.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.