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Finding the Third Proportional to 22,135 and 32,555

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Solution

The third proportional to 22,135 and 32,555 is: 47,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135 : 32,555 = 32,555 : x
  2. Step 2: Convert to fraction form
    22,135/32,555 = 32,555/x
  3. Step 3: Cross multiply
    22,135x = 32,555 × 32,555
  4. Step 4: Simplify right side
    22,135x = 1,059,828,025
  5. Step 5: Solve for x
    x = 1,059,828,025/22,135
  6. Step 6: Final answer
    x = 47,880.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.