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Finding the Third Proportional to 24,426 and 52,306

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Solution

The third proportional to 24,426 and 52,306 is: 112,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426 : 52,306 = 52,306 : x
  2. Step 2: Convert to fraction form
    24,426/52,306 = 52,306/x
  3. Step 3: Cross multiply
    24,426x = 52,306 × 52,306
  4. Step 4: Simplify right side
    24,426x = 2,735,917,636
  5. Step 5: Solve for x
    x = 2,735,917,636/24,426
  6. Step 6: Final answer
    x = 112,008.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.