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Finding the Third Proportional to 20,186 and 34,956.50

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Solution

The third proportional to 20,186 and 34,956.50 is: 60,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186 : 34,956.50 = 34,956.50 : x
  2. Step 2: Convert to fraction form
    20,186/34,956.50 = 34,956.50/x
  3. Step 3: Cross multiply
    20,186x = 34,956.50 × 34,956.50
  4. Step 4: Simplify right side
    20,186x = 1,221,956,892.25
  5. Step 5: Solve for x
    x = 1,221,956,892.25/20,186
  6. Step 6: Final answer
    x = 60,534.87

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.