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Finding the Third Proportional to 10,292 and 14,573

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Solution

The third proportional to 10,292 and 14,573 is: 20,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292 : 14,573 = 14,573 : x
  2. Step 2: Convert to fraction form
    10,292/14,573 = 14,573/x
  3. Step 3: Cross multiply
    10,292x = 14,573 × 14,573
  4. Step 4: Simplify right side
    10,292x = 212,372,329
  5. Step 5: Solve for x
    x = 212,372,329/10,292
  6. Step 6: Final answer
    x = 20,634.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.