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Finding the Third Proportional to 7,350 and 15,424

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Solution

The third proportional to 7,350 and 15,424 is: 32,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 15,424 = 15,424 : x
  2. Step 2: Convert to fraction form
    7,350/15,424 = 15,424/x
  3. Step 3: Cross multiply
    7,350x = 15,424 × 15,424
  4. Step 4: Simplify right side
    7,350x = 237,899,776
  5. Step 5: Solve for x
    x = 237,899,776/7,350
  6. Step 6: Final answer
    x = 32,367.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.