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Finding the Third Proportional to 29,196 and 43,830

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Solution

The third proportional to 29,196 and 43,830 is: 65,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 43,830 = 43,830 : x
  2. Step 2: Convert to fraction form
    29,196/43,830 = 43,830/x
  3. Step 3: Cross multiply
    29,196x = 43,830 × 43,830
  4. Step 4: Simplify right side
    29,196x = 1,921,068,900
  5. Step 5: Solve for x
    x = 1,921,068,900/29,196
  6. Step 6: Final answer
    x = 65,799.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.