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Finding the Third Proportional to 22,531.50 and 32,325.75

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Solution

The third proportional to 22,531.50 and 32,325.75 is: 46,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.50 : 32,325.75 = 32,325.75 : x
  2. Step 2: Convert to fraction form
    22,531.50/32,325.75 = 32,325.75/x
  3. Step 3: Cross multiply
    22,531.50x = 32,325.75 × 32,325.75
  4. Step 4: Simplify right side
    22,531.50x = 1,044,954,113.06
  5. Step 5: Solve for x
    x = 1,044,954,113.06/22,531.50
  6. Step 6: Final answer
    x = 46,377.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.