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Finding the Third Proportional to 31,444.13 and 46,738.22

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Solution

The third proportional to 31,444.13 and 46,738.22 is: 69,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444.13 : 46,738.22 = 46,738.22 : x
  2. Step 2: Convert to fraction form
    31,444.13/46,738.22 = 46,738.22/x
  3. Step 3: Cross multiply
    31,444.13x = 46,738.22 × 46,738.22
  4. Step 4: Simplify right side
    31,444.13x = 2,184,461,091.92
  5. Step 5: Solve for x
    x = 2,184,461,091.92/31,444.13
  6. Step 6: Final answer
    x = 69,471.20

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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.