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Finding the Third Proportional to 8,697 and 19,034

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Solution

The third proportional to 8,697 and 19,034 is: 41,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697 : 19,034 = 19,034 : x
  2. Step 2: Convert to fraction form
    8,697/19,034 = 19,034/x
  3. Step 3: Cross multiply
    8,697x = 19,034 × 19,034
  4. Step 4: Simplify right side
    8,697x = 362,293,156
  5. Step 5: Solve for x
    x = 362,293,156/8,697
  6. Step 6: Final answer
    x = 41,657.26

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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.