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Finding the Third Proportional to 22,947 and 32,314.88

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Solution

The third proportional to 22,947 and 32,314.88 is: 45,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947 : 32,314.88 = 32,314.88 : x
  2. Step 2: Convert to fraction form
    22,947/32,314.88 = 32,314.88/x
  3. Step 3: Cross multiply
    22,947x = 32,314.88 × 32,314.88
  4. Step 4: Simplify right side
    22,947x = 1,044,251,146.27
  5. Step 5: Solve for x
    x = 1,044,251,146.27/22,947
  6. Step 6: Final answer
    x = 45,507.09

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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.