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Finding the Third Proportional to 29,164 and 63,674

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Solution

The third proportional to 29,164 and 63,674 is: 139,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 63,674 = 63,674 : x
  2. Step 2: Convert to fraction form
    29,164/63,674 = 63,674/x
  3. Step 3: Cross multiply
    29,164x = 63,674 × 63,674
  4. Step 4: Simplify right side
    29,164x = 4,054,378,276
  5. Step 5: Solve for x
    x = 4,054,378,276/29,164
  6. Step 6: Final answer
    x = 139,019.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.