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Finding the Third Proportional to 15,741 and 24,568.88

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Solution

The third proportional to 15,741 and 24,568.88 is: 38,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 24,568.88 = 24,568.88 : x
  2. Step 2: Convert to fraction form
    15,741/24,568.88 = 24,568.88/x
  3. Step 3: Cross multiply
    15,741x = 24,568.88 × 24,568.88
  4. Step 4: Simplify right side
    15,741x = 603,629,618.77
  5. Step 5: Solve for x
    x = 603,629,618.77/15,741
  6. Step 6: Final answer
    x = 38,347.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.