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Finding the Third Proportional to 22,960.13 and 32,497.88

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Solution

The third proportional to 22,960.13 and 32,497.88 is: 45,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.13 : 32,497.88 = 32,497.88 : x
  2. Step 2: Convert to fraction form
    22,960.13/32,497.88 = 32,497.88/x
  3. Step 3: Cross multiply
    22,960.13x = 32,497.88 × 32,497.88
  4. Step 4: Simplify right side
    22,960.13x = 1,056,111,879.52
  5. Step 5: Solve for x
    x = 1,056,111,879.52/22,960.13
  6. Step 6: Final answer
    x = 45,997.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.