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Finding the Third Proportional to 7,169.25 and 15,569.75

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Solution

The third proportional to 7,169.25 and 15,569.75 is: 33,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.25 : 15,569.75 = 15,569.75 : x
  2. Step 2: Convert to fraction form
    7,169.25/15,569.75 = 15,569.75/x
  3. Step 3: Cross multiply
    7,169.25x = 15,569.75 × 15,569.75
  4. Step 4: Simplify right side
    7,169.25x = 242,417,115.06
  5. Step 5: Solve for x
    x = 242,417,115.06/7,169.25
  6. Step 6: Final answer
    x = 33,813.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.