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Finding the Third Proportional to 31,152 and 46,599

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Solution

The third proportional to 31,152 and 46,599 is: 69,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 46,599 = 46,599 : x
  2. Step 2: Convert to fraction form
    31,152/46,599 = 46,599/x
  3. Step 3: Cross multiply
    31,152x = 46,599 × 46,599
  4. Step 4: Simplify right side
    31,152x = 2,171,466,801
  5. Step 5: Solve for x
    x = 2,171,466,801/31,152
  6. Step 6: Final answer
    x = 69,705.53

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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.