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Finding the Third Proportional to 7,336.13 and 10,976.06

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Solution

The third proportional to 7,336.13 and 10,976.06 is: 16,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336.13 : 10,976.06 = 10,976.06 : x
  2. Step 2: Convert to fraction form
    7,336.13/10,976.06 = 10,976.06/x
  3. Step 3: Cross multiply
    7,336.13x = 10,976.06 × 10,976.06
  4. Step 4: Simplify right side
    7,336.13x = 120,473,948.00
  5. Step 5: Solve for x
    x = 120,473,948.00/7,336.13
  6. Step 6: Final answer
    x = 16,422.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.