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Finding the Third Proportional to 14,385.38 and 31,266.56

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Solution

The third proportional to 14,385.38 and 31,266.56 is: 67,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.38 : 31,266.56 = 31,266.56 : x
  2. Step 2: Convert to fraction form
    14,385.38/31,266.56 = 31,266.56/x
  3. Step 3: Cross multiply
    14,385.38x = 31,266.56 × 31,266.56
  4. Step 4: Simplify right side
    14,385.38x = 977,597,930.57
  5. Step 5: Solve for x
    x = 977,597,930.57/14,385.38
  6. Step 6: Final answer
    x = 67,957.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.