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Finding the Third Proportional to 27,358 and 41,320

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Solution

The third proportional to 27,358 and 41,320 is: 62,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358 : 41,320 = 41,320 : x
  2. Step 2: Convert to fraction form
    27,358/41,320 = 41,320/x
  3. Step 3: Cross multiply
    27,358x = 41,320 × 41,320
  4. Step 4: Simplify right side
    27,358x = 1,707,342,400
  5. Step 5: Solve for x
    x = 1,707,342,400/27,358
  6. Step 6: Final answer
    x = 62,407.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.