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Finding the Third Proportional to 29,708 and 62,296

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Solution

The third proportional to 29,708 and 62,296 is: 130,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 62,296 = 62,296 : x
  2. Step 2: Convert to fraction form
    29,708/62,296 = 62,296/x
  3. Step 3: Cross multiply
    29,708x = 62,296 × 62,296
  4. Step 4: Simplify right side
    29,708x = 3,880,791,616
  5. Step 5: Solve for x
    x = 3,880,791,616/29,708
  6. Step 6: Final answer
    x = 130,631.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.