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Finding the Third Proportional to 22,014 and 37,395

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Solution

The third proportional to 22,014 and 37,395 is: 63,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 37,395 = 37,395 : x
  2. Step 2: Convert to fraction form
    22,014/37,395 = 37,395/x
  3. Step 3: Cross multiply
    22,014x = 37,395 × 37,395
  4. Step 4: Simplify right side
    22,014x = 1,398,386,025
  5. Step 5: Solve for x
    x = 1,398,386,025/22,014
  6. Step 6: Final answer
    x = 63,522.58

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.