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Finding the Third Proportional to 44,586 and 95,700

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Solution

The third proportional to 44,586 and 95,700 is: 205,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,586 : 95,700 = 95,700 : x
  2. Step 2: Convert to fraction form
    44,586/95,700 = 95,700/x
  3. Step 3: Cross multiply
    44,586x = 95,700 × 95,700
  4. Step 4: Simplify right side
    44,586x = 9,158,490,000
  5. Step 5: Solve for x
    x = 9,158,490,000/44,586
  6. Step 6: Final answer
    x = 205,411.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.