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Finding the Third Proportional to 6,502.78 and 9,145.41

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Solution

The third proportional to 6,502.78 and 9,145.41 is: 12,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 9,145.41 = 9,145.41 : x
  2. Step 2: Convert to fraction form
    6,502.78/9,145.41 = 9,145.41/x
  3. Step 3: Cross multiply
    6,502.78x = 9,145.41 × 9,145.41
  4. Step 4: Simplify right side
    6,502.78x = 83,638,455.48
  5. Step 5: Solve for x
    x = 83,638,455.48/6,502.78
  6. Step 6: Final answer
    x = 12,861.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.