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Finding the Third Proportional to 7,117.88 and 8,363.25

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Solution

The third proportional to 7,117.88 and 8,363.25 is: 9,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.88 : 8,363.25 = 8,363.25 : x
  2. Step 2: Convert to fraction form
    7,117.88/8,363.25 = 8,363.25/x
  3. Step 3: Cross multiply
    7,117.88x = 8,363.25 × 8,363.25
  4. Step 4: Simplify right side
    7,117.88x = 69,943,950.56
  5. Step 5: Solve for x
    x = 69,943,950.56/7,117.88
  6. Step 6: Final answer
    x = 9,826.52

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.