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Finding the Third Proportional to 39,256 and 60,288

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Solution

The third proportional to 39,256 and 60,288 is: 92,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,256 : 60,288 = 60,288 : x
  2. Step 2: Convert to fraction form
    39,256/60,288 = 60,288/x
  3. Step 3: Cross multiply
    39,256x = 60,288 × 60,288
  4. Step 4: Simplify right side
    39,256x = 3,634,642,944
  5. Step 5: Solve for x
    x = 3,634,642,944/39,256
  6. Step 6: Final answer
    x = 92,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.