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Finding the Third Proportional to 5,646.25 and 12,233.75

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Solution

The third proportional to 5,646.25 and 12,233.75 is: 26,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.25 : 12,233.75 = 12,233.75 : x
  2. Step 2: Convert to fraction form
    5,646.25/12,233.75 = 12,233.75/x
  3. Step 3: Cross multiply
    5,646.25x = 12,233.75 × 12,233.75
  4. Step 4: Simplify right side
    5,646.25x = 149,664,639.06
  5. Step 5: Solve for x
    x = 149,664,639.06/5,646.25
  6. Step 6: Final answer
    x = 26,506.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.