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Finding the Third Proportional to 10,656.94 and 16,717.88

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Solution

The third proportional to 10,656.94 and 16,717.88 is: 26,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.94 : 16,717.88 = 16,717.88 : x
  2. Step 2: Convert to fraction form
    10,656.94/16,717.88 = 16,717.88/x
  3. Step 3: Cross multiply
    10,656.94x = 16,717.88 × 16,717.88
  4. Step 4: Simplify right side
    10,656.94x = 279,487,344.52
  5. Step 5: Solve for x
    x = 279,487,344.52/10,656.94
  6. Step 6: Final answer
    x = 26,225.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.