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Finding the Third Proportional to 13,232.25 and 28,310.06

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Solution

The third proportional to 13,232.25 and 28,310.06 is: 60,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.25 : 28,310.06 = 28,310.06 : x
  2. Step 2: Convert to fraction form
    13,232.25/28,310.06 = 28,310.06/x
  3. Step 3: Cross multiply
    13,232.25x = 28,310.06 × 28,310.06
  4. Step 4: Simplify right side
    13,232.25x = 801,459,638.75
  5. Step 5: Solve for x
    x = 801,459,638.75/13,232.25
  6. Step 6: Final answer
    x = 60,568.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.