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Finding the Third Proportional to 24,436 and 52,032

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Solution

The third proportional to 24,436 and 52,032 is: 110,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436 : 52,032 = 52,032 : x
  2. Step 2: Convert to fraction form
    24,436/52,032 = 52,032/x
  3. Step 3: Cross multiply
    24,436x = 52,032 × 52,032
  4. Step 4: Simplify right side
    24,436x = 2,707,329,024
  5. Step 5: Solve for x
    x = 2,707,329,024/24,436
  6. Step 6: Final answer
    x = 110,792.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.