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Finding the Third Proportional to 10,516 and 23,228

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Solution

The third proportional to 10,516 and 23,228 is: 51,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 23,228 = 23,228 : x
  2. Step 2: Convert to fraction form
    10,516/23,228 = 23,228/x
  3. Step 3: Cross multiply
    10,516x = 23,228 × 23,228
  4. Step 4: Simplify right side
    10,516x = 539,539,984
  5. Step 5: Solve for x
    x = 539,539,984/10,516
  6. Step 6: Final answer
    x = 51,306.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.