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Finding the Third Proportional to 7,015.78 and 9,197.72

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Solution

The third proportional to 7,015.78 and 9,197.72 is: 12,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.78 : 9,197.72 = 9,197.72 : x
  2. Step 2: Convert to fraction form
    7,015.78/9,197.72 = 9,197.72/x
  3. Step 3: Cross multiply
    7,015.78x = 9,197.72 × 9,197.72
  4. Step 4: Simplify right side
    7,015.78x = 84,598,030.20
  5. Step 5: Solve for x
    x = 84,598,030.20/7,015.78
  6. Step 6: Final answer
    x = 12,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.