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Finding the Third Proportional to 13,147.25 and 28,846

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Solution

The third proportional to 13,147.25 and 28,846 is: 63,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.25 : 28,846 = 28,846 : x
  2. Step 2: Convert to fraction form
    13,147.25/28,846 = 28,846/x
  3. Step 3: Cross multiply
    13,147.25x = 28,846 × 28,846
  4. Step 4: Simplify right side
    13,147.25x = 832,091,716
  5. Step 5: Solve for x
    x = 832,091,716/13,147.25
  6. Step 6: Final answer
    x = 63,290.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.