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Finding the Third Proportional to 39,312 and 60,872

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Solution

The third proportional to 39,312 and 60,872 is: 94,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 60,872 = 60,872 : x
  2. Step 2: Convert to fraction form
    39,312/60,872 = 60,872/x
  3. Step 3: Cross multiply
    39,312x = 60,872 × 60,872
  4. Step 4: Simplify right side
    39,312x = 3,705,400,384
  5. Step 5: Solve for x
    x = 3,705,400,384/39,312
  6. Step 6: Final answer
    x = 94,256.22

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