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Finding the Third Proportional to 24,306 and 52,406

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Solution

The third proportional to 24,306 and 52,406 is: 112,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 52,406 = 52,406 : x
  2. Step 2: Convert to fraction form
    24,306/52,406 = 52,406/x
  3. Step 3: Cross multiply
    24,306x = 52,406 × 52,406
  4. Step 4: Simplify right side
    24,306x = 2,746,388,836
  5. Step 5: Solve for x
    x = 2,746,388,836/24,306
  6. Step 6: Final answer
    x = 112,992.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.