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Finding the Third Proportional to 29,698 and 62,276

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Solution

The third proportional to 29,698 and 62,276 is: 130,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698 : 62,276 = 62,276 : x
  2. Step 2: Convert to fraction form
    29,698/62,276 = 62,276/x
  3. Step 3: Cross multiply
    29,698x = 62,276 × 62,276
  4. Step 4: Simplify right side
    29,698x = 3,878,300,176
  5. Step 5: Solve for x
    x = 3,878,300,176/29,698
  6. Step 6: Final answer
    x = 130,591.29

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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.