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Finding the Third Proportional to 6,502.78 and 7,110.28

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Solution

The third proportional to 6,502.78 and 7,110.28 is: 7,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 7,110.28 = 7,110.28 : x
  2. Step 2: Convert to fraction form
    6,502.78/7,110.28 = 7,110.28/x
  3. Step 3: Cross multiply
    6,502.78x = 7,110.28 × 7,110.28
  4. Step 4: Simplify right side
    6,502.78x = 50,556,099.45
  5. Step 5: Solve for x
    x = 50,556,099.45/6,502.78
  6. Step 6: Final answer
    x = 7,774.53

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.