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Finding the Third Proportional to 38,032 and 78,488

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Solution

The third proportional to 38,032 and 78,488 is: 161,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 78,488 = 78,488 : x
  2. Step 2: Convert to fraction form
    38,032/78,488 = 78,488/x
  3. Step 3: Cross multiply
    38,032x = 78,488 × 78,488
  4. Step 4: Simplify right side
    38,032x = 6,160,366,144
  5. Step 5: Solve for x
    x = 6,160,366,144/38,032
  6. Step 6: Final answer
    x = 161,978.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.