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Finding the Third Proportional to 22,947.75 and 32,313.38

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Solution

The third proportional to 22,947.75 and 32,313.38 is: 45,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.75 : 32,313.38 = 32,313.38 : x
  2. Step 2: Convert to fraction form
    22,947.75/32,313.38 = 32,313.38/x
  3. Step 3: Cross multiply
    22,947.75x = 32,313.38 × 32,313.38
  4. Step 4: Simplify right side
    22,947.75x = 1,044,154,203.89
  5. Step 5: Solve for x
    x = 1,044,154,203.89/22,947.75
  6. Step 6: Final answer
    x = 45,501.38

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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.