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Finding the Third Proportional to 26,392 and 56,023

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Solution

The third proportional to 26,392 and 56,023 is: 118,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,392 : 56,023 = 56,023 : x
  2. Step 2: Convert to fraction form
    26,392/56,023 = 56,023/x
  3. Step 3: Cross multiply
    26,392x = 56,023 × 56,023
  4. Step 4: Simplify right side
    26,392x = 3,138,576,529
  5. Step 5: Solve for x
    x = 3,138,576,529/26,392
  6. Step 6: Final answer
    x = 118,921.51

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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.