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Finding the Third Proportional to 16,695 and 26,000.25

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Solution

The third proportional to 16,695 and 26,000.25 is: 40,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695 : 26,000.25 = 26,000.25 : x
  2. Step 2: Convert to fraction form
    16,695/26,000.25 = 26,000.25/x
  3. Step 3: Cross multiply
    16,695x = 26,000.25 × 26,000.25
  4. Step 4: Simplify right side
    16,695x = 676,013,000.06
  5. Step 5: Solve for x
    x = 676,013,000.06/16,695
  6. Step 6: Final answer
    x = 40,491.94

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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.