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Finding the Third Proportional to 38,280 and 83,040

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Solution

The third proportional to 38,280 and 83,040 is: 180,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280 : 83,040 = 83,040 : x
  2. Step 2: Convert to fraction form
    38,280/83,040 = 83,040/x
  3. Step 3: Cross multiply
    38,280x = 83,040 × 83,040
  4. Step 4: Simplify right side
    38,280x = 6,895,641,600
  5. Step 5: Solve for x
    x = 6,895,641,600/38,280
  6. Step 6: Final answer
    x = 180,136.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.