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Finding the Third Proportional to 39,297 and 83,442

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Solution

The third proportional to 39,297 and 83,442 is: 177,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,297 : 83,442 = 83,442 : x
  2. Step 2: Convert to fraction form
    39,297/83,442 = 83,442/x
  3. Step 3: Cross multiply
    39,297x = 83,442 × 83,442
  4. Step 4: Simplify right side
    39,297x = 6,962,567,364
  5. Step 5: Solve for x
    x = 6,962,567,364/39,297
  6. Step 6: Final answer
    x = 177,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.