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Finding the Third Proportional to 31,005.28 and 46,422.49

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Solution

The third proportional to 31,005.28 and 46,422.49 is: 69,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.28 : 46,422.49 = 46,422.49 : x
  2. Step 2: Convert to fraction form
    31,005.28/46,422.49 = 46,422.49/x
  3. Step 3: Cross multiply
    31,005.28x = 46,422.49 × 46,422.49
  4. Step 4: Simplify right side
    31,005.28x = 2,155,047,780.90
  5. Step 5: Solve for x
    x = 2,155,047,780.90/31,005.28
  6. Step 6: Final answer
    x = 69,505.83

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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.