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Finding the Third Proportional to 38,352 and 78,562

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Solution

The third proportional to 38,352 and 78,562 is: 160,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352 : 78,562 = 78,562 : x
  2. Step 2: Convert to fraction form
    38,352/78,562 = 78,562/x
  3. Step 3: Cross multiply
    38,352x = 78,562 × 78,562
  4. Step 4: Simplify right side
    38,352x = 6,171,987,844
  5. Step 5: Solve for x
    x = 6,171,987,844/38,352
  6. Step 6: Final answer
    x = 160,930.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.