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Finding the Third Proportional to 22,216.50 and 32,541.75

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Solution

The third proportional to 22,216.50 and 32,541.75 is: 47,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,216.50 : 32,541.75 = 32,541.75 : x
  2. Step 2: Convert to fraction form
    22,216.50/32,541.75 = 32,541.75/x
  3. Step 3: Cross multiply
    22,216.50x = 32,541.75 × 32,541.75
  4. Step 4: Simplify right side
    22,216.50x = 1,058,965,493.06
  5. Step 5: Solve for x
    x = 1,058,965,493.06/22,216.50
  6. Step 6: Final answer
    x = 47,665.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.