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Finding the Third Proportional to 7,560.75 and 12,927.38

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Solution

The third proportional to 7,560.75 and 12,927.38 is: 22,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.75 : 12,927.38 = 12,927.38 : x
  2. Step 2: Convert to fraction form
    7,560.75/12,927.38 = 12,927.38/x
  3. Step 3: Cross multiply
    7,560.75x = 12,927.38 × 12,927.38
  4. Step 4: Simplify right side
    7,560.75x = 167,117,024.39
  5. Step 5: Solve for x
    x = 167,117,024.39/7,560.75
  6. Step 6: Final answer
    x = 22,103.23

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.