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Finding the Third Proportional to 29,700 and 61,283.25

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Solution

The third proportional to 29,700 and 61,283.25 is: 126,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 61,283.25 = 61,283.25 : x
  2. Step 2: Convert to fraction form
    29,700/61,283.25 = 61,283.25/x
  3. Step 3: Cross multiply
    29,700x = 61,283.25 × 61,283.25
  4. Step 4: Simplify right side
    29,700x = 3,755,636,730.56
  5. Step 5: Solve for x
    x = 3,755,636,730.56/29,700
  6. Step 6: Final answer
    x = 126,452.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.