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Finding the Third Proportional to 31,758.38 and 46,444.88

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Solution

The third proportional to 31,758.38 and 46,444.88 is: 67,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.38 : 46,444.88 = 46,444.88 : x
  2. Step 2: Convert to fraction form
    31,758.38/46,444.88 = 46,444.88/x
  3. Step 3: Cross multiply
    31,758.38x = 46,444.88 × 46,444.88
  4. Step 4: Simplify right side
    31,758.38x = 2,157,126,413.77
  5. Step 5: Solve for x
    x = 2,157,126,413.77/31,758.38
  6. Step 6: Final answer
    x = 67,923.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.