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Finding the Third Proportional to 10,435 and 22,639

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Solution

The third proportional to 10,435 and 22,639 is: 49,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435 : 22,639 = 22,639 : x
  2. Step 2: Convert to fraction form
    10,435/22,639 = 22,639/x
  3. Step 3: Cross multiply
    10,435x = 22,639 × 22,639
  4. Step 4: Simplify right side
    10,435x = 512,524,321
  5. Step 5: Solve for x
    x = 512,524,321/10,435
  6. Step 6: Final answer
    x = 49,115.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.