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Finding the Third Proportional to 29,297 and 60,670

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Solution

The third proportional to 29,297 and 60,670 is: 125,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297 : 60,670 = 60,670 : x
  2. Step 2: Convert to fraction form
    29,297/60,670 = 60,670/x
  3. Step 3: Cross multiply
    29,297x = 60,670 × 60,670
  4. Step 4: Simplify right side
    29,297x = 3,680,848,900
  5. Step 5: Solve for x
    x = 3,680,848,900/29,297
  6. Step 6: Final answer
    x = 125,639.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.