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Finding the Third Proportional to 23,498 and 36,462

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Solution

The third proportional to 23,498 and 36,462 is: 56,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498 : 36,462 = 36,462 : x
  2. Step 2: Convert to fraction form
    23,498/36,462 = 36,462/x
  3. Step 3: Cross multiply
    23,498x = 36,462 × 36,462
  4. Step 4: Simplify right side
    23,498x = 1,329,477,444
  5. Step 5: Solve for x
    x = 1,329,477,444/23,498
  6. Step 6: Final answer
    x = 56,578.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.