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Finding the Third Proportional to 4,705.25 and 9,932.50

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Solution

The third proportional to 4,705.25 and 9,932.50 is: 20,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.25 : 9,932.50 = 9,932.50 : x
  2. Step 2: Convert to fraction form
    4,705.25/9,932.50 = 9,932.50/x
  3. Step 3: Cross multiply
    4,705.25x = 9,932.50 × 9,932.50
  4. Step 4: Simplify right side
    4,705.25x = 98,654,556.25
  5. Step 5: Solve for x
    x = 98,654,556.25/4,705.25
  6. Step 6: Final answer
    x = 20,966.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.