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Finding the Third Proportional to 3,697 and 8,033

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Solution

The third proportional to 3,697 and 8,033 is: 17,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 8,033 = 8,033 : x
  2. Step 2: Convert to fraction form
    3,697/8,033 = 8,033/x
  3. Step 3: Cross multiply
    3,697x = 8,033 × 8,033
  4. Step 4: Simplify right side
    3,697x = 64,529,089
  5. Step 5: Solve for x
    x = 64,529,089/3,697
  6. Step 6: Final answer
    x = 17,454.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.