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Finding the Third Proportional to 7,700.06 and 12,241.97

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Solution

The third proportional to 7,700.06 and 12,241.97 is: 19,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 12,241.97 = 12,241.97 : x
  2. Step 2: Convert to fraction form
    7,700.06/12,241.97 = 12,241.97/x
  3. Step 3: Cross multiply
    7,700.06x = 12,241.97 × 12,241.97
  4. Step 4: Simplify right side
    7,700.06x = 149,865,798.88
  5. Step 5: Solve for x
    x = 149,865,798.88/7,700.06
  6. Step 6: Final answer
    x = 19,462.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.