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Finding the Third Proportional to 6,032.25 and 12,721.50

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Solution

The third proportional to 6,032.25 and 12,721.50 is: 26,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.25 : 12,721.50 = 12,721.50 : x
  2. Step 2: Convert to fraction form
    6,032.25/12,721.50 = 12,721.50/x
  3. Step 3: Cross multiply
    6,032.25x = 12,721.50 × 12,721.50
  4. Step 4: Simplify right side
    6,032.25x = 161,836,562.25
  5. Step 5: Solve for x
    x = 161,836,562.25/6,032.25
  6. Step 6: Final answer
    x = 26,828.56

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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.