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Finding the Third Proportional to 31,313 and 46,960

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Solution

The third proportional to 31,313 and 46,960 is: 70,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313 : 46,960 = 46,960 : x
  2. Step 2: Convert to fraction form
    31,313/46,960 = 46,960/x
  3. Step 3: Cross multiply
    31,313x = 46,960 × 46,960
  4. Step 4: Simplify right side
    31,313x = 2,205,241,600
  5. Step 5: Solve for x
    x = 2,205,241,600/31,313
  6. Step 6: Final answer
    x = 70,425.75

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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.