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Finding the Third Proportional to 39,236 and 58,091

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Solution

The third proportional to 39,236 and 58,091 is: 86,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,236 : 58,091 = 58,091 : x
  2. Step 2: Convert to fraction form
    39,236/58,091 = 58,091/x
  3. Step 3: Cross multiply
    39,236x = 58,091 × 58,091
  4. Step 4: Simplify right side
    39,236x = 3,374,564,281
  5. Step 5: Solve for x
    x = 3,374,564,281/39,236
  6. Step 6: Final answer
    x = 86,006.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.