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Finding the Third Proportional to 8,695 and 19,031

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Solution

The third proportional to 8,695 and 19,031 is: 41,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695 : 19,031 = 19,031 : x
  2. Step 2: Convert to fraction form
    8,695/19,031 = 19,031/x
  3. Step 3: Cross multiply
    8,695x = 19,031 × 19,031
  4. Step 4: Simplify right side
    8,695x = 362,178,961
  5. Step 5: Solve for x
    x = 362,178,961/8,695
  6. Step 6: Final answer
    x = 41,653.70

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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.