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Finding the Third Proportional to 14,337.28 and 30,871.69

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Solution

The third proportional to 14,337.28 and 30,871.69 is: 66,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.28 : 30,871.69 = 30,871.69 : x
  2. Step 2: Convert to fraction form
    14,337.28/30,871.69 = 30,871.69/x
  3. Step 3: Cross multiply
    14,337.28x = 30,871.69 × 30,871.69
  4. Step 4: Simplify right side
    14,337.28x = 953,061,089.10
  5. Step 5: Solve for x
    x = 953,061,089.10/14,337.28
  6. Step 6: Final answer
    x = 66,474.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.