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Finding the Third Proportional to 15,744 and 24,034.50

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Solution

The third proportional to 15,744 and 24,034.50 is: 36,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 24,034.50 = 24,034.50 : x
  2. Step 2: Convert to fraction form
    15,744/24,034.50 = 24,034.50/x
  3. Step 3: Cross multiply
    15,744x = 24,034.50 × 24,034.50
  4. Step 4: Simplify right side
    15,744x = 577,657,190.25
  5. Step 5: Solve for x
    x = 577,657,190.25/15,744
  6. Step 6: Final answer
    x = 36,690.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.