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Finding the Third Proportional to 23,366 and 52,583

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Solution

The third proportional to 23,366 and 52,583 is: 118,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366 : 52,583 = 52,583 : x
  2. Step 2: Convert to fraction form
    23,366/52,583 = 52,583/x
  3. Step 3: Cross multiply
    23,366x = 52,583 × 52,583
  4. Step 4: Simplify right side
    23,366x = 2,764,971,889
  5. Step 5: Solve for x
    x = 2,764,971,889/23,366
  6. Step 6: Final answer
    x = 118,333.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.