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Finding the Third Proportional to 12,291.75 and 28,431

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Solution

The third proportional to 12,291.75 and 28,431 is: 65,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.75 : 28,431 = 28,431 : x
  2. Step 2: Convert to fraction form
    12,291.75/28,431 = 28,431/x
  3. Step 3: Cross multiply
    12,291.75x = 28,431 × 28,431
  4. Step 4: Simplify right side
    12,291.75x = 808,321,761
  5. Step 5: Solve for x
    x = 808,321,761/12,291.75
  6. Step 6: Final answer
    x = 65,761.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.