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Finding the Third Proportional to 39,146 and 58,731

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Solution

The third proportional to 39,146 and 58,731 is: 88,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,146 : 58,731 = 58,731 : x
  2. Step 2: Convert to fraction form
    39,146/58,731 = 58,731/x
  3. Step 3: Cross multiply
    39,146x = 58,731 × 58,731
  4. Step 4: Simplify right side
    39,146x = 3,449,330,361
  5. Step 5: Solve for x
    x = 3,449,330,361/39,146
  6. Step 6: Final answer
    x = 88,114.50

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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.