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Finding the Third Proportional to 30,776 and 47,796

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Solution

The third proportional to 30,776 and 47,796 is: 74,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776 : 47,796 = 47,796 : x
  2. Step 2: Convert to fraction form
    30,776/47,796 = 47,796/x
  3. Step 3: Cross multiply
    30,776x = 47,796 × 47,796
  4. Step 4: Simplify right side
    30,776x = 2,284,457,616
  5. Step 5: Solve for x
    x = 2,284,457,616/30,776
  6. Step 6: Final answer
    x = 74,228.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.