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Finding the Third Proportional to 36,312 and 51,384

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Solution

The third proportional to 36,312 and 51,384 is: 72,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,312 : 51,384 = 51,384 : x
  2. Step 2: Convert to fraction form
    36,312/51,384 = 51,384/x
  3. Step 3: Cross multiply
    36,312x = 51,384 × 51,384
  4. Step 4: Simplify right side
    36,312x = 2,640,315,456
  5. Step 5: Solve for x
    x = 2,640,315,456/36,312
  6. Step 6: Final answer
    x = 72,711.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.