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Finding the Third Proportional to 9,749 and 15,700

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Solution

The third proportional to 9,749 and 15,700 is: 25,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749 : 15,700 = 15,700 : x
  2. Step 2: Convert to fraction form
    9,749/15,700 = 15,700/x
  3. Step 3: Cross multiply
    9,749x = 15,700 × 15,700
  4. Step 4: Simplify right side
    9,749x = 246,490,000
  5. Step 5: Solve for x
    x = 246,490,000/9,749
  6. Step 6: Final answer
    x = 25,283.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.