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Finding the Third Proportional to 19,196 and 40,850

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Solution

The third proportional to 19,196 and 40,850 is: 86,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 40,850 = 40,850 : x
  2. Step 2: Convert to fraction form
    19,196/40,850 = 40,850/x
  3. Step 3: Cross multiply
    19,196x = 40,850 × 40,850
  4. Step 4: Simplify right side
    19,196x = 1,668,722,500
  5. Step 5: Solve for x
    x = 1,668,722,500/19,196
  6. Step 6: Final answer
    x = 86,930.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.