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Finding the Third Proportional to 10,398.66 and 15,983.72

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Solution

The third proportional to 10,398.66 and 15,983.72 is: 24,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.66 : 15,983.72 = 15,983.72 : x
  2. Step 2: Convert to fraction form
    10,398.66/15,983.72 = 15,983.72/x
  3. Step 3: Cross multiply
    10,398.66x = 15,983.72 × 15,983.72
  4. Step 4: Simplify right side
    10,398.66x = 255,479,265.08
  5. Step 5: Solve for x
    x = 255,479,265.08/10,398.66
  6. Step 6: Final answer
    x = 24,568.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.