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Finding the Third Proportional to 31,323.38 and 65,722.22

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Solution

The third proportional to 31,323.38 and 65,722.22 is: 137,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.38 : 65,722.22 = 65,722.22 : x
  2. Step 2: Convert to fraction form
    31,323.38/65,722.22 = 65,722.22/x
  3. Step 3: Cross multiply
    31,323.38x = 65,722.22 × 65,722.22
  4. Step 4: Simplify right side
    31,323.38x = 4,319,410,037.42
  5. Step 5: Solve for x
    x = 4,319,410,037.42/31,323.38
  6. Step 6: Final answer
    x = 137,897.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.