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Finding the Third Proportional to 26,957 and 56,707

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Solution

The third proportional to 26,957 and 56,707 is: 119,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957 : 56,707 = 56,707 : x
  2. Step 2: Convert to fraction form
    26,957/56,707 = 56,707/x
  3. Step 3: Cross multiply
    26,957x = 56,707 × 56,707
  4. Step 4: Simplify right side
    26,957x = 3,215,683,849
  5. Step 5: Solve for x
    x = 3,215,683,849/26,957
  6. Step 6: Final answer
    x = 119,289.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.