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Finding the Third Proportional to 26,681 and 35,797

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Solution

The third proportional to 26,681 and 35,797 is: 48,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,681 : 35,797 = 35,797 : x
  2. Step 2: Convert to fraction form
    26,681/35,797 = 35,797/x
  3. Step 3: Cross multiply
    26,681x = 35,797 × 35,797
  4. Step 4: Simplify right side
    26,681x = 1,281,425,209
  5. Step 5: Solve for x
    x = 1,281,425,209/26,681
  6. Step 6: Final answer
    x = 48,027.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.