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Finding the Third Proportional to 26,509 and 56,174

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Solution

The third proportional to 26,509 and 56,174 is: 119,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509 : 56,174 = 56,174 : x
  2. Step 2: Convert to fraction form
    26,509/56,174 = 56,174/x
  3. Step 3: Cross multiply
    26,509x = 56,174 × 56,174
  4. Step 4: Simplify right side
    26,509x = 3,155,518,276
  5. Step 5: Solve for x
    x = 3,155,518,276/26,509
  6. Step 6: Final answer
    x = 119,035.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.