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Finding the Third Proportional to 26,915 and 42,007

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Solution

The third proportional to 26,915 and 42,007 is: 65,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915 : 42,007 = 42,007 : x
  2. Step 2: Convert to fraction form
    26,915/42,007 = 42,007/x
  3. Step 3: Cross multiply
    26,915x = 42,007 × 42,007
  4. Step 4: Simplify right side
    26,915x = 1,764,588,049
  5. Step 5: Solve for x
    x = 1,764,588,049/26,915
  6. Step 6: Final answer
    x = 65,561.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.