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Finding the Third Proportional to 11,646.91 and 18,156.66

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Solution

The third proportional to 11,646.91 and 18,156.66 is: 28,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.91 : 18,156.66 = 18,156.66 : x
  2. Step 2: Convert to fraction form
    11,646.91/18,156.66 = 18,156.66/x
  3. Step 3: Cross multiply
    11,646.91x = 18,156.66 × 18,156.66
  4. Step 4: Simplify right side
    11,646.91x = 329,664,166.18
  5. Step 5: Solve for x
    x = 329,664,166.18/11,646.91
  6. Step 6: Final answer
    x = 28,304.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.