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Finding the Third Proportional to 4,837.13 and 10,555.13

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Solution

The third proportional to 4,837.13 and 10,555.13 is: 23,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.13 : 10,555.13 = 10,555.13 : x
  2. Step 2: Convert to fraction form
    4,837.13/10,555.13 = 10,555.13/x
  3. Step 3: Cross multiply
    4,837.13x = 10,555.13 × 10,555.13
  4. Step 4: Simplify right side
    4,837.13x = 111,410,663.77
  5. Step 5: Solve for x
    x = 111,410,663.77/4,837.13
  6. Step 6: Final answer
    x = 23,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.