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Finding the Third Proportional to 7,853.84 and 10,986.26

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Solution

The third proportional to 7,853.84 and 10,986.26 is: 15,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.84 : 10,986.26 = 10,986.26 : x
  2. Step 2: Convert to fraction form
    7,853.84/10,986.26 = 10,986.26/x
  3. Step 3: Cross multiply
    7,853.84x = 10,986.26 × 10,986.26
  4. Step 4: Simplify right side
    7,853.84x = 120,697,860.72
  5. Step 5: Solve for x
    x = 120,697,860.72/7,853.84
  6. Step 6: Final answer
    x = 15,368.01

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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.