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Finding the Third Proportional to 20,394.38 and 31,516.13

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Solution

The third proportional to 20,394.38 and 31,516.13 is: 48,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.38 : 31,516.13 = 31,516.13 : x
  2. Step 2: Convert to fraction form
    20,394.38/31,516.13 = 31,516.13/x
  3. Step 3: Cross multiply
    20,394.38x = 31,516.13 × 31,516.13
  4. Step 4: Simplify right side
    20,394.38x = 993,266,135.02
  5. Step 5: Solve for x
    x = 993,266,135.02/20,394.38
  6. Step 6: Final answer
    x = 48,702.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.