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Finding the Third Proportional to 10,952 and 24,828

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Solution

The third proportional to 10,952 and 24,828 is: 56,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952 : 24,828 = 24,828 : x
  2. Step 2: Convert to fraction form
    10,952/24,828 = 24,828/x
  3. Step 3: Cross multiply
    10,952x = 24,828 × 24,828
  4. Step 4: Simplify right side
    10,952x = 616,429,584
  5. Step 5: Solve for x
    x = 616,429,584/10,952
  6. Step 6: Final answer
    x = 56,284.66

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.