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Finding the Third Proportional to 39,213 and 59,994

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Solution

The third proportional to 39,213 and 59,994 is: 91,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,213 : 59,994 = 59,994 : x
  2. Step 2: Convert to fraction form
    39,213/59,994 = 59,994/x
  3. Step 3: Cross multiply
    39,213x = 59,994 × 59,994
  4. Step 4: Simplify right side
    39,213x = 3,599,280,036
  5. Step 5: Solve for x
    x = 3,599,280,036/39,213
  6. Step 6: Final answer
    x = 91,787.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.