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Finding the Third Proportional to 19,670.50 and 43,229

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Solution

The third proportional to 19,670.50 and 43,229 is: 95,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.50 : 43,229 = 43,229 : x
  2. Step 2: Convert to fraction form
    19,670.50/43,229 = 43,229/x
  3. Step 3: Cross multiply
    19,670.50x = 43,229 × 43,229
  4. Step 4: Simplify right side
    19,670.50x = 1,868,746,441
  5. Step 5: Solve for x
    x = 1,868,746,441/19,670.50
  6. Step 6: Final answer
    x = 95,002.49

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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.