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Finding the Third Proportional to 32,593 and 78,492

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Solution

The third proportional to 32,593 and 78,492 is: 189,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593 : 78,492 = 78,492 : x
  2. Step 2: Convert to fraction form
    32,593/78,492 = 78,492/x
  3. Step 3: Cross multiply
    32,593x = 78,492 × 78,492
  4. Step 4: Simplify right side
    32,593x = 6,160,994,064
  5. Step 5: Solve for x
    x = 6,160,994,064/32,593
  6. Step 6: Final answer
    x = 189,028.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.