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Finding the Third Proportional to 6,502.78 and 10,330.03

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Solution

The third proportional to 6,502.78 and 10,330.03 is: 16,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 10,330.03 = 10,330.03 : x
  2. Step 2: Convert to fraction form
    6,502.78/10,330.03 = 10,330.03/x
  3. Step 3: Cross multiply
    6,502.78x = 10,330.03 × 10,330.03
  4. Step 4: Simplify right side
    6,502.78x = 106,709,545.63
  5. Step 5: Solve for x
    x = 106,709,545.63/6,502.78
  6. Step 6: Final answer
    x = 16,409.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.