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Finding the Third Proportional to 43,664 and 62,294

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Solution

The third proportional to 43,664 and 62,294 is: 88,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 62,294 = 62,294 : x
  2. Step 2: Convert to fraction form
    43,664/62,294 = 62,294/x
  3. Step 3: Cross multiply
    43,664x = 62,294 × 62,294
  4. Step 4: Simplify right side
    43,664x = 3,880,542,436
  5. Step 5: Solve for x
    x = 3,880,542,436/43,664
  6. Step 6: Final answer
    x = 88,872.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.