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Finding the Third Proportional to 24,923.25 and 33,577.88

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Solution

The third proportional to 24,923.25 and 33,577.88 is: 45,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.25 : 33,577.88 = 33,577.88 : x
  2. Step 2: Convert to fraction form
    24,923.25/33,577.88 = 33,577.88/x
  3. Step 3: Cross multiply
    24,923.25x = 33,577.88 × 33,577.88
  4. Step 4: Simplify right side
    24,923.25x = 1,127,473,689.52
  5. Step 5: Solve for x
    x = 1,127,473,689.52/24,923.25
  6. Step 6: Final answer
    x = 45,237.83

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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.