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Finding the Third Proportional to 9,729 and 15,201

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Solution

The third proportional to 9,729 and 15,201 is: 23,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 15,201 = 15,201 : x
  2. Step 2: Convert to fraction form
    9,729/15,201 = 15,201/x
  3. Step 3: Cross multiply
    9,729x = 15,201 × 15,201
  4. Step 4: Simplify right side
    9,729x = 231,070,401
  5. Step 5: Solve for x
    x = 231,070,401/9,729
  6. Step 6: Final answer
    x = 23,750.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.