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Finding the Third Proportional to 7,006.50 and 9,811.13

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Solution

The third proportional to 7,006.50 and 9,811.13 is: 13,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.50 : 9,811.13 = 9,811.13 : x
  2. Step 2: Convert to fraction form
    7,006.50/9,811.13 = 9,811.13/x
  3. Step 3: Cross multiply
    7,006.50x = 9,811.13 × 9,811.13
  4. Step 4: Simplify right side
    7,006.50x = 96,258,173.77
  5. Step 5: Solve for x
    x = 96,258,173.77/7,006.50
  6. Step 6: Final answer
    x = 13,738.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.