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Finding the Third Proportional to 29,802 and 62,053

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Solution

The third proportional to 29,802 and 62,053 is: 129,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802 : 62,053 = 62,053 : x
  2. Step 2: Convert to fraction form
    29,802/62,053 = 62,053/x
  3. Step 3: Cross multiply
    29,802x = 62,053 × 62,053
  4. Step 4: Simplify right side
    29,802x = 3,850,574,809
  5. Step 5: Solve for x
    x = 3,850,574,809/29,802
  6. Step 6: Final answer
    x = 129,205.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.