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Finding the Third Proportional to 26,349 and 56,934

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Solution

The third proportional to 26,349 and 56,934 is: 123,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,349 : 56,934 = 56,934 : x
  2. Step 2: Convert to fraction form
    26,349/56,934 = 56,934/x
  3. Step 3: Cross multiply
    26,349x = 56,934 × 56,934
  4. Step 4: Simplify right side
    26,349x = 3,241,480,356
  5. Step 5: Solve for x
    x = 3,241,480,356/26,349
  6. Step 6: Final answer
    x = 123,021.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.