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Finding the Third Proportional to 29,456 and 61,952

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Solution

The third proportional to 29,456 and 61,952 is: 130,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456 : 61,952 = 61,952 : x
  2. Step 2: Convert to fraction form
    29,456/61,952 = 61,952/x
  3. Step 3: Cross multiply
    29,456x = 61,952 × 61,952
  4. Step 4: Simplify right side
    29,456x = 3,838,050,304
  5. Step 5: Solve for x
    x = 3,838,050,304/29,456
  6. Step 6: Final answer
    x = 130,297.74

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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.