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Finding the Third Proportional to 22,404 and 34,970

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Solution

The third proportional to 22,404 and 34,970 is: 54,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404 : 34,970 = 34,970 : x
  2. Step 2: Convert to fraction form
    22,404/34,970 = 34,970/x
  3. Step 3: Cross multiply
    22,404x = 34,970 × 34,970
  4. Step 4: Simplify right side
    22,404x = 1,222,900,900
  5. Step 5: Solve for x
    x = 1,222,900,900/22,404
  6. Step 6: Final answer
    x = 54,584.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.