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Finding the Third Proportional to 15,805.50 and 34,793

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Solution

The third proportional to 15,805.50 and 34,793 is: 76,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.50 : 34,793 = 34,793 : x
  2. Step 2: Convert to fraction form
    15,805.50/34,793 = 34,793/x
  3. Step 3: Cross multiply
    15,805.50x = 34,793 × 34,793
  4. Step 4: Simplify right side
    15,805.50x = 1,210,552,849
  5. Step 5: Solve for x
    x = 1,210,552,849/15,805.50
  6. Step 6: Final answer
    x = 76,590.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.