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Finding the Third Proportional to 39,117 and 56,055

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Solution

The third proportional to 39,117 and 56,055 is: 80,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,117 : 56,055 = 56,055 : x
  2. Step 2: Convert to fraction form
    39,117/56,055 = 56,055/x
  3. Step 3: Cross multiply
    39,117x = 56,055 × 56,055
  4. Step 4: Simplify right side
    39,117x = 3,142,163,025
  5. Step 5: Solve for x
    x = 3,142,163,025/39,117
  6. Step 6: Final answer
    x = 80,327.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.