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Finding the Third Proportional to 15,200 and 23,424

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Solution

The third proportional to 15,200 and 23,424 is: 36,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 23,424 = 23,424 : x
  2. Step 2: Convert to fraction form
    15,200/23,424 = 23,424/x
  3. Step 3: Cross multiply
    15,200x = 23,424 × 23,424
  4. Step 4: Simplify right side
    15,200x = 548,683,776
  5. Step 5: Solve for x
    x = 548,683,776/15,200
  6. Step 6: Final answer
    x = 36,097.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.