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Finding the Third Proportional to 5,335.25 and 8,483.25

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Solution

The third proportional to 5,335.25 and 8,483.25 is: 13,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.25 : 8,483.25 = 8,483.25 : x
  2. Step 2: Convert to fraction form
    5,335.25/8,483.25 = 8,483.25/x
  3. Step 3: Cross multiply
    5,335.25x = 8,483.25 × 8,483.25
  4. Step 4: Simplify right side
    5,335.25x = 71,965,530.56
  5. Step 5: Solve for x
    x = 71,965,530.56/5,335.25
  6. Step 6: Final answer
    x = 13,488.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.