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Finding the Third Proportional to 36,721 and 55,426

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Solution

The third proportional to 36,721 and 55,426 is: 83,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,721 : 55,426 = 55,426 : x
  2. Step 2: Convert to fraction form
    36,721/55,426 = 55,426/x
  3. Step 3: Cross multiply
    36,721x = 55,426 × 55,426
  4. Step 4: Simplify right side
    36,721x = 3,072,041,476
  5. Step 5: Solve for x
    x = 3,072,041,476/36,721
  6. Step 6: Final answer
    x = 83,658.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.