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Finding the Third Proportional to 23,572.69 and 32,032.97

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Solution

The third proportional to 23,572.69 and 32,032.97 is: 43,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.69 : 32,032.97 = 32,032.97 : x
  2. Step 2: Convert to fraction form
    23,572.69/32,032.97 = 32,032.97/x
  3. Step 3: Cross multiply
    23,572.69x = 32,032.97 × 32,032.97
  4. Step 4: Simplify right side
    23,572.69x = 1,026,111,086.94
  5. Step 5: Solve for x
    x = 1,026,111,086.94/23,572.69
  6. Step 6: Final answer
    x = 43,529.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.