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Finding the Third Proportional to 24,698.25 and 54,319.50

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Solution

The third proportional to 24,698.25 and 54,319.50 is: 119,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.25 : 54,319.50 = 54,319.50 : x
  2. Step 2: Convert to fraction form
    24,698.25/54,319.50 = 54,319.50/x
  3. Step 3: Cross multiply
    24,698.25x = 54,319.50 × 54,319.50
  4. Step 4: Simplify right side
    24,698.25x = 2,950,608,080.25
  5. Step 5: Solve for x
    x = 2,950,608,080.25/24,698.25
  6. Step 6: Final answer
    x = 119,466.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.