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Finding the Third Proportional to 39,297 and 60,894

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Solution

The third proportional to 39,297 and 60,894 is: 94,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,297 : 60,894 = 60,894 : x
  2. Step 2: Convert to fraction form
    39,297/60,894 = 60,894/x
  3. Step 3: Cross multiply
    39,297x = 60,894 × 60,894
  4. Step 4: Simplify right side
    39,297x = 3,708,079,236
  5. Step 5: Solve for x
    x = 3,708,079,236/39,297
  6. Step 6: Final answer
    x = 94,360.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.