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Finding the Third Proportional to 7,877.25 and 14,235.75

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Solution

The third proportional to 7,877.25 and 14,235.75 is: 25,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.25 : 14,235.75 = 14,235.75 : x
  2. Step 2: Convert to fraction form
    7,877.25/14,235.75 = 14,235.75/x
  3. Step 3: Cross multiply
    7,877.25x = 14,235.75 × 14,235.75
  4. Step 4: Simplify right side
    7,877.25x = 202,656,578.06
  5. Step 5: Solve for x
    x = 202,656,578.06/7,877.25
  6. Step 6: Final answer
    x = 25,726.82

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.