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Finding the Third Proportional to 8,359.50 and 10,648.50

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Solution

The third proportional to 8,359.50 and 10,648.50 is: 13,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.50 : 10,648.50 = 10,648.50 : x
  2. Step 2: Convert to fraction form
    8,359.50/10,648.50 = 10,648.50/x
  3. Step 3: Cross multiply
    8,359.50x = 10,648.50 × 10,648.50
  4. Step 4: Simplify right side
    8,359.50x = 113,390,552.25
  5. Step 5: Solve for x
    x = 113,390,552.25/8,359.50
  6. Step 6: Final answer
    x = 13,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.