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Finding the Third Proportional to 19,319.92 and 31,036.61

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Solution

The third proportional to 19,319.92 and 31,036.61 is: 49,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319.92 : 31,036.61 = 31,036.61 : x
  2. Step 2: Convert to fraction form
    19,319.92/31,036.61 = 31,036.61/x
  3. Step 3: Cross multiply
    19,319.92x = 31,036.61 × 31,036.61
  4. Step 4: Simplify right side
    19,319.92x = 963,270,879.02
  5. Step 5: Solve for x
    x = 963,270,879.02/19,319.92
  6. Step 6: Final answer
    x = 49,858.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.