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Finding the Third Proportional to 23,006.25 and 32,389.88

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Solution

The third proportional to 23,006.25 and 32,389.88 is: 45,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.25 : 32,389.88 = 32,389.88 : x
  2. Step 2: Convert to fraction form
    23,006.25/32,389.88 = 32,389.88/x
  3. Step 3: Cross multiply
    23,006.25x = 32,389.88 × 32,389.88
  4. Step 4: Simplify right side
    23,006.25x = 1,049,104,002.52
  5. Step 5: Solve for x
    x = 1,049,104,002.52/23,006.25
  6. Step 6: Final answer
    x = 45,600.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.