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Finding the Third Proportional to 13,478.91 and 24,436.69

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Solution

The third proportional to 13,478.91 and 24,436.69 is: 44,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.91 : 24,436.69 = 24,436.69 : x
  2. Step 2: Convert to fraction form
    13,478.91/24,436.69 = 24,436.69/x
  3. Step 3: Cross multiply
    13,478.91x = 24,436.69 × 24,436.69
  4. Step 4: Simplify right side
    13,478.91x = 597,151,695.97
  5. Step 5: Solve for x
    x = 597,151,695.97/13,478.91
  6. Step 6: Final answer
    x = 44,302.68

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.