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Finding the Third Proportional to 8,477.16 and 18,586.97

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Solution

The third proportional to 8,477.16 and 18,586.97 is: 40,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.16 : 18,586.97 = 18,586.97 : x
  2. Step 2: Convert to fraction form
    8,477.16/18,586.97 = 18,586.97/x
  3. Step 3: Cross multiply
    8,477.16x = 18,586.97 × 18,586.97
  4. Step 4: Simplify right side
    8,477.16x = 345,475,407.31
  5. Step 5: Solve for x
    x = 345,475,407.31/8,477.16
  6. Step 6: Final answer
    x = 40,753.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.