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Finding the Third Proportional to 15,594 and 34,009

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Solution

The third proportional to 15,594 and 34,009 is: 74,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594 : 34,009 = 34,009 : x
  2. Step 2: Convert to fraction form
    15,594/34,009 = 34,009/x
  3. Step 3: Cross multiply
    15,594x = 34,009 × 34,009
  4. Step 4: Simplify right side
    15,594x = 1,156,612,081
  5. Step 5: Solve for x
    x = 1,156,612,081/15,594
  6. Step 6: Final answer
    x = 74,170.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.