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Finding the Third Proportional to 39,202 and 56,034

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Solution

The third proportional to 39,202 and 56,034 is: 80,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 56,034 = 56,034 : x
  2. Step 2: Convert to fraction form
    39,202/56,034 = 56,034/x
  3. Step 3: Cross multiply
    39,202x = 56,034 × 56,034
  4. Step 4: Simplify right side
    39,202x = 3,139,809,156
  5. Step 5: Solve for x
    x = 3,139,809,156/39,202
  6. Step 6: Final answer
    x = 80,093.09

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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.