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Finding the Third Proportional to 8,982.50 and 19,730

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Solution

The third proportional to 8,982.50 and 19,730 is: 43,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.50 : 19,730 = 19,730 : x
  2. Step 2: Convert to fraction form
    8,982.50/19,730 = 19,730/x
  3. Step 3: Cross multiply
    8,982.50x = 19,730 × 19,730
  4. Step 4: Simplify right side
    8,982.50x = 389,272,900
  5. Step 5: Solve for x
    x = 389,272,900/8,982.50
  6. Step 6: Final answer
    x = 43,336.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.