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Finding the Third Proportional to 5,484.38 and 12,013.31

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Solution

The third proportional to 5,484.38 and 12,013.31 is: 26,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.38 : 12,013.31 = 12,013.31 : x
  2. Step 2: Convert to fraction form
    5,484.38/12,013.31 = 12,013.31/x
  3. Step 3: Cross multiply
    5,484.38x = 12,013.31 × 12,013.31
  4. Step 4: Simplify right side
    5,484.38x = 144,319,677.22
  5. Step 5: Solve for x
    x = 144,319,677.22/5,484.38
  6. Step 6: Final answer
    x = 26,314.70

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Why These Related Problems?

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