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Finding the Third Proportional to 42,287 and 65,019

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Solution

The third proportional to 42,287 and 65,019 is: 99,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287 : 65,019 = 65,019 : x
  2. Step 2: Convert to fraction form
    42,287/65,019 = 65,019/x
  3. Step 3: Cross multiply
    42,287x = 65,019 × 65,019
  4. Step 4: Simplify right side
    42,287x = 4,227,470,361
  5. Step 5: Solve for x
    x = 4,227,470,361/42,287
  6. Step 6: Final answer
    x = 99,970.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.