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Finding the Third Proportional to 6,364 and 15,610

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Solution

The third proportional to 6,364 and 15,610 is: 38,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364 : 15,610 = 15,610 : x
  2. Step 2: Convert to fraction form
    6,364/15,610 = 15,610/x
  3. Step 3: Cross multiply
    6,364x = 15,610 × 15,610
  4. Step 4: Simplify right side
    6,364x = 243,672,100
  5. Step 5: Solve for x
    x = 243,672,100/6,364
  6. Step 6: Final answer
    x = 38,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.