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Finding the Third Proportional to 42,669 and 65,035

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Solution

The third proportional to 42,669 and 65,035 is: 99,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669 : 65,035 = 65,035 : x
  2. Step 2: Convert to fraction form
    42,669/65,035 = 65,035/x
  3. Step 3: Cross multiply
    42,669x = 65,035 × 65,035
  4. Step 4: Simplify right side
    42,669x = 4,229,551,225
  5. Step 5: Solve for x
    x = 4,229,551,225/42,669
  6. Step 6: Final answer
    x = 99,124.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.