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Finding the Third Proportional to 22,060 and 31,436

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Solution

The third proportional to 22,060 and 31,436 is: 44,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,060 : 31,436 = 31,436 : x
  2. Step 2: Convert to fraction form
    22,060/31,436 = 31,436/x
  3. Step 3: Cross multiply
    22,060x = 31,436 × 31,436
  4. Step 4: Simplify right side
    22,060x = 988,222,096
  5. Step 5: Solve for x
    x = 988,222,096/22,060
  6. Step 6: Final answer
    x = 44,797.01

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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.