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Finding the Third Proportional to 34,006 and 62,422

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Solution

The third proportional to 34,006 and 62,422 is: 114,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006 : 62,422 = 62,422 : x
  2. Step 2: Convert to fraction form
    34,006/62,422 = 62,422/x
  3. Step 3: Cross multiply
    34,006x = 62,422 × 62,422
  4. Step 4: Simplify right side
    34,006x = 3,896,506,084
  5. Step 5: Solve for x
    x = 3,896,506,084/34,006
  6. Step 6: Final answer
    x = 114,582.90

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.