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Finding the Third Proportional to 10,389 and 22,725.38

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Solution

The third proportional to 10,389 and 22,725.38 is: 49,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389 : 22,725.38 = 22,725.38 : x
  2. Step 2: Convert to fraction form
    10,389/22,725.38 = 22,725.38/x
  3. Step 3: Cross multiply
    10,389x = 22,725.38 × 22,725.38
  4. Step 4: Simplify right side
    10,389x = 516,442,668.89
  5. Step 5: Solve for x
    x = 516,442,668.89/10,389
  6. Step 6: Final answer
    x = 49,710.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.