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Finding the Third Proportional to 9,767 and 15,155

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Solution

The third proportional to 9,767 and 15,155 is: 23,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 15,155 = 15,155 : x
  2. Step 2: Convert to fraction form
    9,767/15,155 = 15,155/x
  3. Step 3: Cross multiply
    9,767x = 15,155 × 15,155
  4. Step 4: Simplify right side
    9,767x = 229,674,025
  5. Step 5: Solve for x
    x = 229,674,025/9,767
  6. Step 6: Final answer
    x = 23,515.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.