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Finding the Third Proportional to 9,969.75 and 13,132.13

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Solution

The third proportional to 9,969.75 and 13,132.13 is: 17,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.75 : 13,132.13 = 13,132.13 : x
  2. Step 2: Convert to fraction form
    9,969.75/13,132.13 = 13,132.13/x
  3. Step 3: Cross multiply
    9,969.75x = 13,132.13 × 13,132.13
  4. Step 4: Simplify right side
    9,969.75x = 172,452,707.02
  5. Step 5: Solve for x
    x = 172,452,707.02/9,969.75
  6. Step 6: Final answer
    x = 17,297.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.