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Finding the Third Proportional to 27,510 and 42,705

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Solution

The third proportional to 27,510 and 42,705 is: 66,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510 : 42,705 = 42,705 : x
  2. Step 2: Convert to fraction form
    27,510/42,705 = 42,705/x
  3. Step 3: Cross multiply
    27,510x = 42,705 × 42,705
  4. Step 4: Simplify right side
    27,510x = 1,823,717,025
  5. Step 5: Solve for x
    x = 1,823,717,025/27,510
  6. Step 6: Final answer
    x = 66,292.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.