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Finding the Third Proportional to 36,928 and 55,776

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Solution

The third proportional to 36,928 and 55,776 is: 84,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,928 : 55,776 = 55,776 : x
  2. Step 2: Convert to fraction form
    36,928/55,776 = 55,776/x
  3. Step 3: Cross multiply
    36,928x = 55,776 × 55,776
  4. Step 4: Simplify right side
    36,928x = 3,110,962,176
  5. Step 5: Solve for x
    x = 3,110,962,176/36,928
  6. Step 6: Final answer
    x = 84,243.99

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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.