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Finding the Third Proportional to 7,996.22 and 12,542.98

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Solution

The third proportional to 7,996.22 and 12,542.98 is: 19,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.22 : 12,542.98 = 12,542.98 : x
  2. Step 2: Convert to fraction form
    7,996.22/12,542.98 = 12,542.98/x
  3. Step 3: Cross multiply
    7,996.22x = 12,542.98 × 12,542.98
  4. Step 4: Simplify right side
    7,996.22x = 157,326,261.05
  5. Step 5: Solve for x
    x = 157,326,261.05/7,996.22
  6. Step 6: Final answer
    x = 19,675.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.