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Finding the Third Proportional to 40,095 and 54,766.13

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Solution

The third proportional to 40,095 and 54,766.13 is: 74,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,095 : 54,766.13 = 54,766.13 : x
  2. Step 2: Convert to fraction form
    40,095/54,766.13 = 54,766.13/x
  3. Step 3: Cross multiply
    40,095x = 54,766.13 × 54,766.13
  4. Step 4: Simplify right side
    40,095x = 2,999,328,447.52
  5. Step 5: Solve for x
    x = 2,999,328,447.52/40,095
  6. Step 6: Final answer
    x = 74,805.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.