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Finding the Third Proportional to 13,001.34 and 26,617.78

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Solution

The third proportional to 13,001.34 and 26,617.78 is: 54,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.34 : 26,617.78 = 26,617.78 : x
  2. Step 2: Convert to fraction form
    13,001.34/26,617.78 = 26,617.78/x
  3. Step 3: Cross multiply
    13,001.34x = 26,617.78 × 26,617.78
  4. Step 4: Simplify right side
    13,001.34x = 708,506,278.67
  5. Step 5: Solve for x
    x = 708,506,278.67/13,001.34
  6. Step 6: Final answer
    x = 54,494.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.