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Finding the Third Proportional to 31,233.09 and 46,798.38

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Solution

The third proportional to 31,233.09 and 46,798.38 is: 70,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233.09 : 46,798.38 = 46,798.38 : x
  2. Step 2: Convert to fraction form
    31,233.09/46,798.38 = 46,798.38/x
  3. Step 3: Cross multiply
    31,233.09x = 46,798.38 × 46,798.38
  4. Step 4: Simplify right side
    31,233.09x = 2,190,088,633.87
  5. Step 5: Solve for x
    x = 2,190,088,633.87/31,233.09
  6. Step 6: Final answer
    x = 70,120.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.