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Finding the Third Proportional to 22,320 and 34,582.50

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Solution

The third proportional to 22,320 and 34,582.50 is: 53,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320 : 34,582.50 = 34,582.50 : x
  2. Step 2: Convert to fraction form
    22,320/34,582.50 = 34,582.50/x
  3. Step 3: Cross multiply
    22,320x = 34,582.50 × 34,582.50
  4. Step 4: Simplify right side
    22,320x = 1,195,949,306.25
  5. Step 5: Solve for x
    x = 1,195,949,306.25/22,320
  6. Step 6: Final answer
    x = 53,581.96

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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.