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Finding the Third Proportional to 29,199 and 45,165

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Solution

The third proportional to 29,199 and 45,165 is: 69,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199 : 45,165 = 45,165 : x
  2. Step 2: Convert to fraction form
    29,199/45,165 = 45,165/x
  3. Step 3: Cross multiply
    29,199x = 45,165 × 45,165
  4. Step 4: Simplify right side
    29,199x = 2,039,877,225
  5. Step 5: Solve for x
    x = 2,039,877,225/29,199
  6. Step 6: Final answer
    x = 69,861.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.