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Finding the Third Proportional to 24,009.75 and 35,548.88

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Solution

The third proportional to 24,009.75 and 35,548.88 is: 52,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.75 : 35,548.88 = 35,548.88 : x
  2. Step 2: Convert to fraction form
    24,009.75/35,548.88 = 35,548.88/x
  3. Step 3: Cross multiply
    24,009.75x = 35,548.88 × 35,548.88
  4. Step 4: Simplify right side
    24,009.75x = 1,263,722,513.77
  5. Step 5: Solve for x
    x = 1,263,722,513.77/24,009.75
  6. Step 6: Final answer
    x = 52,633.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.