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Finding the Third Proportional to 27,613 and 42,376

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Solution

The third proportional to 27,613 and 42,376 is: 65,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613 : 42,376 = 42,376 : x
  2. Step 2: Convert to fraction form
    27,613/42,376 = 42,376/x
  3. Step 3: Cross multiply
    27,613x = 42,376 × 42,376
  4. Step 4: Simplify right side
    27,613x = 1,795,725,376
  5. Step 5: Solve for x
    x = 1,795,725,376/27,613
  6. Step 6: Final answer
    x = 65,031.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.