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Finding the Third Proportional to 22,951.69 and 32,320.69

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Solution

The third proportional to 22,951.69 and 32,320.69 is: 45,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.69 : 32,320.69 = 32,320.69 : x
  2. Step 2: Convert to fraction form
    22,951.69/32,320.69 = 32,320.69/x
  3. Step 3: Cross multiply
    22,951.69x = 32,320.69 × 32,320.69
  4. Step 4: Simplify right side
    22,951.69x = 1,044,626,840.47
  5. Step 5: Solve for x
    x = 1,044,626,840.47/22,951.69
  6. Step 6: Final answer
    x = 45,514.16

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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.