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Finding the Third Proportional to 19,515 and 41,461

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Solution

The third proportional to 19,515 and 41,461 is: 88,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515 : 41,461 = 41,461 : x
  2. Step 2: Convert to fraction form
    19,515/41,461 = 41,461/x
  3. Step 3: Cross multiply
    19,515x = 41,461 × 41,461
  4. Step 4: Simplify right side
    19,515x = 1,719,014,521
  5. Step 5: Solve for x
    x = 1,719,014,521/19,515
  6. Step 6: Final answer
    x = 88,086.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.