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Finding the Third Proportional to 38,116 and 56,620

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Solution

The third proportional to 38,116 and 56,620 is: 84,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116 : 56,620 = 56,620 : x
  2. Step 2: Convert to fraction form
    38,116/56,620 = 56,620/x
  3. Step 3: Cross multiply
    38,116x = 56,620 × 56,620
  4. Step 4: Simplify right side
    38,116x = 3,205,824,400
  5. Step 5: Solve for x
    x = 3,205,824,400/38,116
  6. Step 6: Final answer
    x = 84,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.