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Finding the Third Proportional to 27,061 and 42,510

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Solution

The third proportional to 27,061 and 42,510 is: 66,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061 : 42,510 = 42,510 : x
  2. Step 2: Convert to fraction form
    27,061/42,510 = 42,510/x
  3. Step 3: Cross multiply
    27,061x = 42,510 × 42,510
  4. Step 4: Simplify right side
    27,061x = 1,807,100,100
  5. Step 5: Solve for x
    x = 1,807,100,100/27,061
  6. Step 6: Final answer
    x = 66,778.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.