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Finding the Third Proportional to 9,718.38 and 15,471.38

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Solution

The third proportional to 9,718.38 and 15,471.38 is: 24,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.38 : 15,471.38 = 15,471.38 : x
  2. Step 2: Convert to fraction form
    9,718.38/15,471.38 = 15,471.38/x
  3. Step 3: Cross multiply
    9,718.38x = 15,471.38 × 15,471.38
  4. Step 4: Simplify right side
    9,718.38x = 239,363,444.39
  5. Step 5: Solve for x
    x = 239,363,444.39/9,718.38
  6. Step 6: Final answer
    x = 24,629.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.