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Finding the Third Proportional to 29,452 and 38,220

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Solution

The third proportional to 29,452 and 38,220 is: 49,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452 : 38,220 = 38,220 : x
  2. Step 2: Convert to fraction form
    29,452/38,220 = 38,220/x
  3. Step 3: Cross multiply
    29,452x = 38,220 × 38,220
  4. Step 4: Simplify right side
    29,452x = 1,460,768,400
  5. Step 5: Solve for x
    x = 1,460,768,400/29,452
  6. Step 6: Final answer
    x = 49,598.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.