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Finding the Third Proportional to 54,452.25 and 77,395.50

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Solution

The third proportional to 54,452.25 and 77,395.50 is: 110,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.25 : 77,395.50 = 77,395.50 : x
  2. Step 2: Convert to fraction form
    54,452.25/77,395.50 = 77,395.50/x
  3. Step 3: Cross multiply
    54,452.25x = 77,395.50 × 77,395.50
  4. Step 4: Simplify right side
    54,452.25x = 5,990,063,420.25
  5. Step 5: Solve for x
    x = 5,990,063,420.25/54,452.25
  6. Step 6: Final answer
    x = 110,005.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.