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Finding the Third Proportional to 2,359.13 and 5,059.13

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Solution

The third proportional to 2,359.13 and 5,059.13 is: 10,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.13 : 5,059.13 = 5,059.13 : x
  2. Step 2: Convert to fraction form
    2,359.13/5,059.13 = 5,059.13/x
  3. Step 3: Cross multiply
    2,359.13x = 5,059.13 × 5,059.13
  4. Step 4: Simplify right side
    2,359.13x = 25,594,745.77
  5. Step 5: Solve for x
    x = 25,594,745.77/2,359.13
  6. Step 6: Final answer
    x = 10,849.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.