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Finding the Third Proportional to 15,736.15 and 24,366.68

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Solution

The third proportional to 15,736.15 and 24,366.68 is: 37,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.15 : 24,366.68 = 24,366.68 : x
  2. Step 2: Convert to fraction form
    15,736.15/24,366.68 = 24,366.68/x
  3. Step 3: Cross multiply
    15,736.15x = 24,366.68 × 24,366.68
  4. Step 4: Simplify right side
    15,736.15x = 593,735,221.77
  5. Step 5: Solve for x
    x = 593,735,221.77/15,736.15
  6. Step 6: Final answer
    x = 37,730.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.