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Finding the Third Proportional to 5,111.23 and 10,410.40

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Solution

The third proportional to 5,111.23 and 10,410.40 is: 21,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.23 : 10,410.40 = 10,410.40 : x
  2. Step 2: Convert to fraction form
    5,111.23/10,410.40 = 10,410.40/x
  3. Step 3: Cross multiply
    5,111.23x = 10,410.40 × 10,410.40
  4. Step 4: Simplify right side
    5,111.23x = 108,376,395.63
  5. Step 5: Solve for x
    x = 108,376,395.63/5,111.23
  6. Step 6: Final answer
    x = 21,203.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.