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Finding the Third Proportional to 22,022 and 31,545

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Solution

The third proportional to 22,022 and 31,545 is: 45,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022 : 31,545 = 31,545 : x
  2. Step 2: Convert to fraction form
    22,022/31,545 = 31,545/x
  3. Step 3: Cross multiply
    22,022x = 31,545 × 31,545
  4. Step 4: Simplify right side
    22,022x = 995,087,025
  5. Step 5: Solve for x
    x = 995,087,025/22,022
  6. Step 6: Final answer
    x = 45,186.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.