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Finding the Third Proportional to 38,560 and 83,424

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Solution

The third proportional to 38,560 and 83,424 is: 180,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560 : 83,424 = 83,424 : x
  2. Step 2: Convert to fraction form
    38,560/83,424 = 83,424/x
  3. Step 3: Cross multiply
    38,560x = 83,424 × 83,424
  4. Step 4: Simplify right side
    38,560x = 6,959,563,776
  5. Step 5: Solve for x
    x = 6,959,563,776/38,560
  6. Step 6: Final answer
    x = 180,486.61

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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.