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Finding the Third Proportional to 37,728 and 52,776

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Solution

The third proportional to 37,728 and 52,776 is: 73,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 52,776 = 52,776 : x
  2. Step 2: Convert to fraction form
    37,728/52,776 = 52,776/x
  3. Step 3: Cross multiply
    37,728x = 52,776 × 52,776
  4. Step 4: Simplify right side
    37,728x = 2,785,306,176
  5. Step 5: Solve for x
    x = 2,785,306,176/37,728
  6. Step 6: Final answer
    x = 73,825.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.