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Finding the Third Proportional to 15,960 and 34,091

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Solution

The third proportional to 15,960 and 34,091 is: 72,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 34,091 = 34,091 : x
  2. Step 2: Convert to fraction form
    15,960/34,091 = 34,091/x
  3. Step 3: Cross multiply
    15,960x = 34,091 × 34,091
  4. Step 4: Simplify right side
    15,960x = 1,162,196,281
  5. Step 5: Solve for x
    x = 1,162,196,281/15,960
  6. Step 6: Final answer
    x = 72,819.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.