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Finding the Third Proportional to 24,034 and 35,797

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Solution

The third proportional to 24,034 and 35,797 is: 53,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034 : 35,797 = 35,797 : x
  2. Step 2: Convert to fraction form
    24,034/35,797 = 35,797/x
  3. Step 3: Cross multiply
    24,034x = 35,797 × 35,797
  4. Step 4: Simplify right side
    24,034x = 1,281,425,209
  5. Step 5: Solve for x
    x = 1,281,425,209/24,034
  6. Step 6: Final answer
    x = 53,317.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.