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Finding the Third Proportional to 7,767 and 16,971.75

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Solution

The third proportional to 7,767 and 16,971.75 is: 37,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 16,971.75 = 16,971.75 : x
  2. Step 2: Convert to fraction form
    7,767/16,971.75 = 16,971.75/x
  3. Step 3: Cross multiply
    7,767x = 16,971.75 × 16,971.75
  4. Step 4: Simplify right side
    7,767x = 288,040,298.06
  5. Step 5: Solve for x
    x = 288,040,298.06/7,767
  6. Step 6: Final answer
    x = 37,085.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.