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Finding the Third Proportional to 40,264 and 60,300

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Solution

The third proportional to 40,264 and 60,300 is: 90,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,264 : 60,300 = 60,300 : x
  2. Step 2: Convert to fraction form
    40,264/60,300 = 60,300/x
  3. Step 3: Cross multiply
    40,264x = 60,300 × 60,300
  4. Step 4: Simplify right side
    40,264x = 3,636,090,000
  5. Step 5: Solve for x
    x = 3,636,090,000/40,264
  6. Step 6: Final answer
    x = 90,306.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.