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Finding the Third Proportional to 39,476 and 85,642

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Solution

The third proportional to 39,476 and 85,642 is: 185,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476 : 85,642 = 85,642 : x
  2. Step 2: Convert to fraction form
    39,476/85,642 = 85,642/x
  3. Step 3: Cross multiply
    39,476x = 85,642 × 85,642
  4. Step 4: Simplify right side
    39,476x = 7,334,552,164
  5. Step 5: Solve for x
    x = 7,334,552,164/39,476
  6. Step 6: Final answer
    x = 185,797.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.