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Finding the Third Proportional to 22,468 and 34,934.50

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Solution

The third proportional to 22,468 and 34,934.50 is: 54,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468 : 34,934.50 = 34,934.50 : x
  2. Step 2: Convert to fraction form
    22,468/34,934.50 = 34,934.50/x
  3. Step 3: Cross multiply
    22,468x = 34,934.50 × 34,934.50
  4. Step 4: Simplify right side
    22,468x = 1,220,419,290.25
  5. Step 5: Solve for x
    x = 1,220,419,290.25/22,468
  6. Step 6: Final answer
    x = 54,318.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.