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Finding the Third Proportional to 15,288 and 24,412.50

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Solution

The third proportional to 15,288 and 24,412.50 is: 38,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288 : 24,412.50 = 24,412.50 : x
  2. Step 2: Convert to fraction form
    15,288/24,412.50 = 24,412.50/x
  3. Step 3: Cross multiply
    15,288x = 24,412.50 × 24,412.50
  4. Step 4: Simplify right side
    15,288x = 595,970,156.25
  5. Step 5: Solve for x
    x = 595,970,156.25/15,288
  6. Step 6: Final answer
    x = 38,982.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.