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Finding the Third Proportional to 29,854.50 and 40,403.25

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Solution

The third proportional to 29,854.50 and 40,403.25 is: 54,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.50 : 40,403.25 = 40,403.25 : x
  2. Step 2: Convert to fraction form
    29,854.50/40,403.25 = 40,403.25/x
  3. Step 3: Cross multiply
    29,854.50x = 40,403.25 × 40,403.25
  4. Step 4: Simplify right side
    29,854.50x = 1,632,422,610.56
  5. Step 5: Solve for x
    x = 1,632,422,610.56/29,854.50
  6. Step 6: Final answer
    x = 54,679.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.