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Finding the Third Proportional to 28,106 and 42,086

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Solution

The third proportional to 28,106 and 42,086 is: 63,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106 : 42,086 = 42,086 : x
  2. Step 2: Convert to fraction form
    28,106/42,086 = 42,086/x
  3. Step 3: Cross multiply
    28,106x = 42,086 × 42,086
  4. Step 4: Simplify right side
    28,106x = 1,771,231,396
  5. Step 5: Solve for x
    x = 1,771,231,396/28,106
  6. Step 6: Final answer
    x = 63,019.69

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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.