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Finding the Third Proportional to 12,715.14 and 24,065.54

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Solution

The third proportional to 12,715.14 and 24,065.54 is: 45,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.14 : 24,065.54 = 24,065.54 : x
  2. Step 2: Convert to fraction form
    12,715.14/24,065.54 = 24,065.54/x
  3. Step 3: Cross multiply
    12,715.14x = 24,065.54 × 24,065.54
  4. Step 4: Simplify right side
    12,715.14x = 579,150,358.38
  5. Step 5: Solve for x
    x = 579,150,358.38/12,715.14
  6. Step 6: Final answer
    x = 45,548.09

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.