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Finding the Third Proportional to 9,982 and 15,518.50

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Solution

The third proportional to 9,982 and 15,518.50 is: 24,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982 : 15,518.50 = 15,518.50 : x
  2. Step 2: Convert to fraction form
    9,982/15,518.50 = 15,518.50/x
  3. Step 3: Cross multiply
    9,982x = 15,518.50 × 15,518.50
  4. Step 4: Simplify right side
    9,982x = 240,823,842.25
  5. Step 5: Solve for x
    x = 240,823,842.25/9,982
  6. Step 6: Final answer
    x = 24,125.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.