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Finding the Third Proportional to 7,551.98 and 8,730.91

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Solution

The third proportional to 7,551.98 and 8,730.91 is: 10,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.98 : 8,730.91 = 8,730.91 : x
  2. Step 2: Convert to fraction form
    7,551.98/8,730.91 = 8,730.91/x
  3. Step 3: Cross multiply
    7,551.98x = 8,730.91 × 8,730.91
  4. Step 4: Simplify right side
    7,551.98x = 76,228,860.37
  5. Step 5: Solve for x
    x = 76,228,860.37/7,551.98
  6. Step 6: Final answer
    x = 10,093.88

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.