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Finding the Third Proportional to 8,435.25 and 13,033.13

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Solution

The third proportional to 8,435.25 and 13,033.13 is: 20,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.25 : 13,033.13 = 13,033.13 : x
  2. Step 2: Convert to fraction form
    8,435.25/13,033.13 = 13,033.13/x
  3. Step 3: Cross multiply
    8,435.25x = 13,033.13 × 13,033.13
  4. Step 4: Simplify right side
    8,435.25x = 169,862,347.27
  5. Step 5: Solve for x
    x = 169,862,347.27/8,435.25
  6. Step 6: Final answer
    x = 20,137.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.