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Finding the Third Proportional to 7,321.50 and 8,658

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Solution

The third proportional to 7,321.50 and 8,658 is: 10,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.50 : 8,658 = 8,658 : x
  2. Step 2: Convert to fraction form
    7,321.50/8,658 = 8,658/x
  3. Step 3: Cross multiply
    7,321.50x = 8,658 × 8,658
  4. Step 4: Simplify right side
    7,321.50x = 74,960,964
  5. Step 5: Solve for x
    x = 74,960,964/7,321.50
  6. Step 6: Final answer
    x = 10,238.47

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.