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Finding the Third Proportional to 7,306.50 and 8,359.50

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Solution

The third proportional to 7,306.50 and 8,359.50 is: 9,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.50 : 8,359.50 = 8,359.50 : x
  2. Step 2: Convert to fraction form
    7,306.50/8,359.50 = 8,359.50/x
  3. Step 3: Cross multiply
    7,306.50x = 8,359.50 × 8,359.50
  4. Step 4: Simplify right side
    7,306.50x = 69,881,240.25
  5. Step 5: Solve for x
    x = 69,881,240.25/7,306.50
  6. Step 6: Final answer
    x = 9,564.26

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.