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Finding the Third Proportional to 6,032.25 and 8,660.25

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Solution

The third proportional to 6,032.25 and 8,660.25 is: 12,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.25 : 8,660.25 = 8,660.25 : x
  2. Step 2: Convert to fraction form
    6,032.25/8,660.25 = 8,660.25/x
  3. Step 3: Cross multiply
    6,032.25x = 8,660.25 × 8,660.25
  4. Step 4: Simplify right side
    6,032.25x = 74,999,930.06
  5. Step 5: Solve for x
    x = 74,999,930.06/6,032.25
  6. Step 6: Final answer
    x = 12,433.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.