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Finding the Third Proportional to 7,973.44 and 17,040.38

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Solution

The third proportional to 7,973.44 and 17,040.38 is: 36,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.44 : 17,040.38 = 17,040.38 : x
  2. Step 2: Convert to fraction form
    7,973.44/17,040.38 = 17,040.38/x
  3. Step 3: Cross multiply
    7,973.44x = 17,040.38 × 17,040.38
  4. Step 4: Simplify right side
    7,973.44x = 290,374,380.14
  5. Step 5: Solve for x
    x = 290,374,380.14/7,973.44
  6. Step 6: Final answer
    x = 36,417.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.