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Finding the Third Proportional to 34,580 and 75,672

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Solution

The third proportional to 34,580 and 75,672 is: 165,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580 : 75,672 = 75,672 : x
  2. Step 2: Convert to fraction form
    34,580/75,672 = 75,672/x
  3. Step 3: Cross multiply
    34,580x = 75,672 × 75,672
  4. Step 4: Simplify right side
    34,580x = 5,726,251,584
  5. Step 5: Solve for x
    x = 5,726,251,584/34,580
  6. Step 6: Final answer
    x = 165,594.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.