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Finding the Third Proportional to 7,781.06 and 14,235.75

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Solution

The third proportional to 7,781.06 and 14,235.75 is: 26,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.06 : 14,235.75 = 14,235.75 : x
  2. Step 2: Convert to fraction form
    7,781.06/14,235.75 = 14,235.75/x
  3. Step 3: Cross multiply
    7,781.06x = 14,235.75 × 14,235.75
  4. Step 4: Simplify right side
    7,781.06x = 202,656,578.06
  5. Step 5: Solve for x
    x = 202,656,578.06/7,781.06
  6. Step 6: Final answer
    x = 26,044.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.