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Finding the Third Proportional to 31,440.38 and 46,733.34

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Solution

The third proportional to 31,440.38 and 46,733.34 is: 69,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440.38 : 46,733.34 = 46,733.34 : x
  2. Step 2: Convert to fraction form
    31,440.38/46,733.34 = 46,733.34/x
  3. Step 3: Cross multiply
    31,440.38x = 46,733.34 × 46,733.34
  4. Step 4: Simplify right side
    31,440.38x = 2,184,005,418.06
  5. Step 5: Solve for x
    x = 2,184,005,418.06/31,440.38
  6. Step 6: Final answer
    x = 69,464.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.