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Finding the Third Proportional to 5,273 and 10,729

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Solution

The third proportional to 5,273 and 10,729 is: 21,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273 : 10,729 = 10,729 : x
  2. Step 2: Convert to fraction form
    5,273/10,729 = 10,729/x
  3. Step 3: Cross multiply
    5,273x = 10,729 × 10,729
  4. Step 4: Simplify right side
    5,273x = 115,111,441
  5. Step 5: Solve for x
    x = 115,111,441/5,273
  6. Step 6: Final answer
    x = 21,830.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.