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Finding the Third Proportional to 1,169 and 2,485

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Solution

The third proportional to 1,169 and 2,485 is: 5,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169 : 2,485 = 2,485 : x
  2. Step 2: Convert to fraction form
    1,169/2,485 = 2,485/x
  3. Step 3: Cross multiply
    1,169x = 2,485 × 2,485
  4. Step 4: Simplify right side
    1,169x = 6,175,225
  5. Step 5: Solve for x
    x = 6,175,225/1,169
  6. Step 6: Final answer
    x = 5,282.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.