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Finding the Third Proportional to 39,790 and 57,209

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Solution

The third proportional to 39,790 and 57,209 is: 82,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,790 : 57,209 = 57,209 : x
  2. Step 2: Convert to fraction form
    39,790/57,209 = 57,209/x
  3. Step 3: Cross multiply
    39,790x = 57,209 × 57,209
  4. Step 4: Simplify right side
    39,790x = 3,272,869,681
  5. Step 5: Solve for x
    x = 3,272,869,681/39,790
  6. Step 6: Final answer
    x = 82,253.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.