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Finding the Third Proportional to 29,220 and 63,039

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Solution

The third proportional to 29,220 and 63,039 is: 135,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,220 : 63,039 = 63,039 : x
  2. Step 2: Convert to fraction form
    29,220/63,039 = 63,039/x
  3. Step 3: Cross multiply
    29,220x = 63,039 × 63,039
  4. Step 4: Simplify right side
    29,220x = 3,973,915,521
  5. Step 5: Solve for x
    x = 3,973,915,521/29,220
  6. Step 6: Final answer
    x = 135,999.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.