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Finding the Third Proportional to 8,411.34 and 18,156.66

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Solution

The third proportional to 8,411.34 and 18,156.66 is: 39,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.34 : 18,156.66 = 18,156.66 : x
  2. Step 2: Convert to fraction form
    8,411.34/18,156.66 = 18,156.66/x
  3. Step 3: Cross multiply
    8,411.34x = 18,156.66 × 18,156.66
  4. Step 4: Simplify right side
    8,411.34x = 329,664,166.18
  5. Step 5: Solve for x
    x = 329,664,166.18/8,411.34
  6. Step 6: Final answer
    x = 39,192.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.