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Finding the Third Proportional to 39,384 and 83,216

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Solution

The third proportional to 39,384 and 83,216 is: 175,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384 : 83,216 = 83,216 : x
  2. Step 2: Convert to fraction form
    39,384/83,216 = 83,216/x
  3. Step 3: Cross multiply
    39,384x = 83,216 × 83,216
  4. Step 4: Simplify right side
    39,384x = 6,924,902,656
  5. Step 5: Solve for x
    x = 6,924,902,656/39,384
  6. Step 6: Final answer
    x = 175,830.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.