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Finding the Third Proportional to 24,017.06 and 35,403.75

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Solution

The third proportional to 24,017.06 and 35,403.75 is: 52,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.06 : 35,403.75 = 35,403.75 : x
  2. Step 2: Convert to fraction form
    24,017.06/35,403.75 = 35,403.75/x
  3. Step 3: Cross multiply
    24,017.06x = 35,403.75 × 35,403.75
  4. Step 4: Simplify right side
    24,017.06x = 1,253,425,514.06
  5. Step 5: Solve for x
    x = 1,253,425,514.06/24,017.06
  6. Step 6: Final answer
    x = 52,188.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.