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Finding the Third Proportional to 31,147.41 and 46,711.22

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Solution

The third proportional to 31,147.41 and 46,711.22 is: 70,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.41 : 46,711.22 = 46,711.22 : x
  2. Step 2: Convert to fraction form
    31,147.41/46,711.22 = 46,711.22/x
  3. Step 3: Cross multiply
    31,147.41x = 46,711.22 × 46,711.22
  4. Step 4: Simplify right side
    31,147.41x = 2,181,937,957.11
  5. Step 5: Solve for x
    x = 2,181,937,957.11/31,147.41
  6. Step 6: Final answer
    x = 70,052.00

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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.