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Finding the Third Proportional to 24,304.50 and 57,226.50

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Solution

The third proportional to 24,304.50 and 57,226.50 is: 134,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304.50 : 57,226.50 = 57,226.50 : x
  2. Step 2: Convert to fraction form
    24,304.50/57,226.50 = 57,226.50/x
  3. Step 3: Cross multiply
    24,304.50x = 57,226.50 × 57,226.50
  4. Step 4: Simplify right side
    24,304.50x = 3,274,872,302.25
  5. Step 5: Solve for x
    x = 3,274,872,302.25/24,304.50
  6. Step 6: Final answer
    x = 134,743.46

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.