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Finding the Third Proportional to 43,525 and 65,122.50

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Solution

The third proportional to 43,525 and 65,122.50 is: 97,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,525 : 65,122.50 = 65,122.50 : x
  2. Step 2: Convert to fraction form
    43,525/65,122.50 = 65,122.50/x
  3. Step 3: Cross multiply
    43,525x = 65,122.50 × 65,122.50
  4. Step 4: Simplify right side
    43,525x = 4,240,940,006.25
  5. Step 5: Solve for x
    x = 4,240,940,006.25/43,525
  6. Step 6: Final answer
    x = 97,436.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.