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Finding the Third Proportional to 15,318 and 24,391.50

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Solution

The third proportional to 15,318 and 24,391.50 is: 38,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318 : 24,391.50 = 24,391.50 : x
  2. Step 2: Convert to fraction form
    15,318/24,391.50 = 24,391.50/x
  3. Step 3: Cross multiply
    15,318x = 24,391.50 × 24,391.50
  4. Step 4: Simplify right side
    15,318x = 594,945,272.25
  5. Step 5: Solve for x
    x = 594,945,272.25/15,318
  6. Step 6: Final answer
    x = 38,839.62

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Why These Related Problems?

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