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Finding the Third Proportional to 22,995 and 32,143.50

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Solution

The third proportional to 22,995 and 32,143.50 is: 44,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995 : 32,143.50 = 32,143.50 : x
  2. Step 2: Convert to fraction form
    22,995/32,143.50 = 32,143.50/x
  3. Step 3: Cross multiply
    22,995x = 32,143.50 × 32,143.50
  4. Step 4: Simplify right side
    22,995x = 1,033,204,592.25
  5. Step 5: Solve for x
    x = 1,033,204,592.25/22,995
  6. Step 6: Final answer
    x = 44,931.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.