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Finding the Third Proportional to 24,032 and 35,794

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Solution

The third proportional to 24,032 and 35,794 is: 53,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032 : 35,794 = 35,794 : x
  2. Step 2: Convert to fraction form
    24,032/35,794 = 35,794/x
  3. Step 3: Cross multiply
    24,032x = 35,794 × 35,794
  4. Step 4: Simplify right side
    24,032x = 1,281,210,436
  5. Step 5: Solve for x
    x = 1,281,210,436/24,032
  6. Step 6: Final answer
    x = 53,312.68

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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.