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Finding the Third Proportional to 18,234 and 39,060

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Solution

The third proportional to 18,234 and 39,060 is: 83,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234 : 39,060 = 39,060 : x
  2. Step 2: Convert to fraction form
    18,234/39,060 = 39,060/x
  3. Step 3: Cross multiply
    18,234x = 39,060 × 39,060
  4. Step 4: Simplify right side
    18,234x = 1,525,683,600
  5. Step 5: Solve for x
    x = 1,525,683,600/18,234
  6. Step 6: Final answer
    x = 83,672.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.