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Finding the Third Proportional to 26,864.13 and 41,423.88

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Solution

The third proportional to 26,864.13 and 41,423.88 is: 63,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864.13 : 41,423.88 = 41,423.88 : x
  2. Step 2: Convert to fraction form
    26,864.13/41,423.88 = 41,423.88/x
  3. Step 3: Cross multiply
    26,864.13x = 41,423.88 × 41,423.88
  4. Step 4: Simplify right side
    26,864.13x = 1,715,937,420.02
  5. Step 5: Solve for x
    x = 1,715,937,420.02/26,864.13
  6. Step 6: Final answer
    x = 63,874.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.