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Finding the Third Proportional to 10,573 and 24,583

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Solution

The third proportional to 10,573 and 24,583 is: 57,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573 : 24,583 = 24,583 : x
  2. Step 2: Convert to fraction form
    10,573/24,583 = 24,583/x
  3. Step 3: Cross multiply
    10,573x = 24,583 × 24,583
  4. Step 4: Simplify right side
    10,573x = 604,323,889
  5. Step 5: Solve for x
    x = 604,323,889/10,573
  6. Step 6: Final answer
    x = 57,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.