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Finding the Third Proportional to 38,513 and 83,344

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Solution

The third proportional to 38,513 and 83,344 is: 180,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513 : 83,344 = 83,344 : x
  2. Step 2: Convert to fraction form
    38,513/83,344 = 83,344/x
  3. Step 3: Cross multiply
    38,513x = 83,344 × 83,344
  4. Step 4: Simplify right side
    38,513x = 6,946,222,336
  5. Step 5: Solve for x
    x = 6,946,222,336/38,513
  6. Step 6: Final answer
    x = 180,360.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.