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Finding the Third Proportional to 9,890 and 15,731

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Solution

The third proportional to 9,890 and 15,731 is: 25,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890 : 15,731 = 15,731 : x
  2. Step 2: Convert to fraction form
    9,890/15,731 = 15,731/x
  3. Step 3: Cross multiply
    9,890x = 15,731 × 15,731
  4. Step 4: Simplify right side
    9,890x = 247,464,361
  5. Step 5: Solve for x
    x = 247,464,361/9,890
  6. Step 6: Final answer
    x = 25,021.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.