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Finding the Third Proportional to 23,498 and 51,350

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Solution

The third proportional to 23,498 and 51,350 is: 112,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498 : 51,350 = 51,350 : x
  2. Step 2: Convert to fraction form
    23,498/51,350 = 51,350/x
  3. Step 3: Cross multiply
    23,498x = 51,350 × 51,350
  4. Step 4: Simplify right side
    23,498x = 2,636,822,500
  5. Step 5: Solve for x
    x = 2,636,822,500/23,498
  6. Step 6: Final answer
    x = 112,214.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.