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Finding the Third Proportional to 40,260 and 60,294

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Solution

The third proportional to 40,260 and 60,294 is: 90,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,260 : 60,294 = 60,294 : x
  2. Step 2: Convert to fraction form
    40,260/60,294 = 60,294/x
  3. Step 3: Cross multiply
    40,260x = 60,294 × 60,294
  4. Step 4: Simplify right side
    40,260x = 3,635,366,436
  5. Step 5: Solve for x
    x = 3,635,366,436/40,260
  6. Step 6: Final answer
    x = 90,297.23

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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.