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Finding the Third Proportional to 4,617 and 10,012.36

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Solution

The third proportional to 4,617 and 10,012.36 is: 21,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 10,012.36 = 10,012.36 : x
  2. Step 2: Convert to fraction form
    4,617/10,012.36 = 10,012.36/x
  3. Step 3: Cross multiply
    4,617x = 10,012.36 × 10,012.36
  4. Step 4: Simplify right side
    4,617x = 100,247,340.25
  5. Step 5: Solve for x
    x = 100,247,340.25/4,617
  6. Step 6: Final answer
    x = 21,712.66

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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.