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Finding the Third Proportional to 23,649.07 and 35,572.92

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Solution

The third proportional to 23,649.07 and 35,572.92 is: 53,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.07 : 35,572.92 = 35,572.92 : x
  2. Step 2: Convert to fraction form
    23,649.07/35,572.92 = 35,572.92/x
  3. Step 3: Cross multiply
    23,649.07x = 35,572.92 × 35,572.92
  4. Step 4: Simplify right side
    23,649.07x = 1,265,432,770.72
  5. Step 5: Solve for x
    x = 1,265,432,770.72/23,649.07
  6. Step 6: Final answer
    x = 53,508.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.