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Finding the Third Proportional to 6,992.58 and 15,214.08

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Solution

The third proportional to 6,992.58 and 15,214.08 is: 33,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.58 : 15,214.08 = 15,214.08 : x
  2. Step 2: Convert to fraction form
    6,992.58/15,214.08 = 15,214.08/x
  3. Step 3: Cross multiply
    6,992.58x = 15,214.08 × 15,214.08
  4. Step 4: Simplify right side
    6,992.58x = 231,468,173.19
  5. Step 5: Solve for x
    x = 231,468,173.19/6,992.58
  6. Step 6: Final answer
    x = 33,101.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.