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Finding the Third Proportional to 35,750 and 78,412

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Solution

The third proportional to 35,750 and 78,412 is: 171,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750 : 78,412 = 78,412 : x
  2. Step 2: Convert to fraction form
    35,750/78,412 = 78,412/x
  3. Step 3: Cross multiply
    35,750x = 78,412 × 78,412
  4. Step 4: Simplify right side
    35,750x = 6,148,441,744
  5. Step 5: Solve for x
    x = 6,148,441,744/35,750
  6. Step 6: Final answer
    x = 171,984.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.