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Finding the Third Proportional to 39,474 and 75,310

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Solution

The third proportional to 39,474 and 75,310 is: 143,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 75,310 = 75,310 : x
  2. Step 2: Convert to fraction form
    39,474/75,310 = 75,310/x
  3. Step 3: Cross multiply
    39,474x = 75,310 × 75,310
  4. Step 4: Simplify right side
    39,474x = 5,671,596,100
  5. Step 5: Solve for x
    x = 5,671,596,100/39,474
  6. Step 6: Final answer
    x = 143,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.