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Finding the Third Proportional to 10,641.38 and 15,903.84

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Solution

The third proportional to 10,641.38 and 15,903.84 is: 23,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.38 : 15,903.84 = 15,903.84 : x
  2. Step 2: Convert to fraction form
    10,641.38/15,903.84 = 15,903.84/x
  3. Step 3: Cross multiply
    10,641.38x = 15,903.84 × 15,903.84
  4. Step 4: Simplify right side
    10,641.38x = 252,932,246.02
  5. Step 5: Solve for x
    x = 252,932,246.02/10,641.38
  6. Step 6: Final answer
    x = 23,768.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.