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Finding the Third Proportional to 39,658 and 57,297

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Solution

The third proportional to 39,658 and 57,297 is: 82,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658 : 57,297 = 57,297 : x
  2. Step 2: Convert to fraction form
    39,658/57,297 = 57,297/x
  3. Step 3: Cross multiply
    39,658x = 57,297 × 57,297
  4. Step 4: Simplify right side
    39,658x = 3,282,946,209
  5. Step 5: Solve for x
    x = 3,282,946,209/39,658
  6. Step 6: Final answer
    x = 82,781.44

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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.