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Finding the Third Proportional to 35,975 and 78,508

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Solution

The third proportional to 35,975 and 78,508 is: 171,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975 : 78,508 = 78,508 : x
  2. Step 2: Convert to fraction form
    35,975/78,508 = 78,508/x
  3. Step 3: Cross multiply
    35,975x = 78,508 × 78,508
  4. Step 4: Simplify right side
    35,975x = 6,163,506,064
  5. Step 5: Solve for x
    x = 6,163,506,064/35,975
  6. Step 6: Final answer
    x = 171,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.