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Finding the Third Proportional to 5,612.25 and 8,934.75

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Solution

The third proportional to 5,612.25 and 8,934.75 is: 14,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.25 : 8,934.75 = 8,934.75 : x
  2. Step 2: Convert to fraction form
    5,612.25/8,934.75 = 8,934.75/x
  3. Step 3: Cross multiply
    5,612.25x = 8,934.75 × 8,934.75
  4. Step 4: Simplify right side
    5,612.25x = 79,829,757.56
  5. Step 5: Solve for x
    x = 79,829,757.56/5,612.25
  6. Step 6: Final answer
    x = 14,224.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.