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Finding the Third Proportional to 29,754 and 42,300

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Solution

The third proportional to 29,754 and 42,300 is: 60,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 42,300 = 42,300 : x
  2. Step 2: Convert to fraction form
    29,754/42,300 = 42,300/x
  3. Step 3: Cross multiply
    29,754x = 42,300 × 42,300
  4. Step 4: Simplify right side
    29,754x = 1,789,290,000
  5. Step 5: Solve for x
    x = 1,789,290,000/29,754
  6. Step 6: Final answer
    x = 60,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.