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Finding the Third Proportional to 27,720 and 60,453

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Solution

The third proportional to 27,720 and 60,453 is: 131,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 60,453 = 60,453 : x
  2. Step 2: Convert to fraction form
    27,720/60,453 = 60,453/x
  3. Step 3: Cross multiply
    27,720x = 60,453 × 60,453
  4. Step 4: Simplify right side
    27,720x = 3,654,565,209
  5. Step 5: Solve for x
    x = 3,654,565,209/27,720
  6. Step 6: Final answer
    x = 131,838.57

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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.