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Finding the Third Proportional to 19,651.13 and 31,138.13

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Solution

The third proportional to 19,651.13 and 31,138.13 is: 49,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.13 : 31,138.13 = 31,138.13 : x
  2. Step 2: Convert to fraction form
    19,651.13/31,138.13 = 31,138.13/x
  3. Step 3: Cross multiply
    19,651.13x = 31,138.13 × 31,138.13
  4. Step 4: Simplify right side
    19,651.13x = 969,582,828.52
  5. Step 5: Solve for x
    x = 969,582,828.52/19,651.13
  6. Step 6: Final answer
    x = 49,339.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.