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Finding the Third Proportional to 19,842.50 and 29,966

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Solution

The third proportional to 19,842.50 and 29,966 is: 45,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.50 : 29,966 = 29,966 : x
  2. Step 2: Convert to fraction form
    19,842.50/29,966 = 29,966/x
  3. Step 3: Cross multiply
    19,842.50x = 29,966 × 29,966
  4. Step 4: Simplify right side
    19,842.50x = 897,961,156
  5. Step 5: Solve for x
    x = 897,961,156/19,842.50
  6. Step 6: Final answer
    x = 45,254.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.