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Finding the Third Proportional to 2,540 and 2,905

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Solution

The third proportional to 2,540 and 2,905 is: 3,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540 : 2,905 = 2,905 : x
  2. Step 2: Convert to fraction form
    2,540/2,905 = 2,905/x
  3. Step 3: Cross multiply
    2,540x = 2,905 × 2,905
  4. Step 4: Simplify right side
    2,540x = 8,439,025
  5. Step 5: Solve for x
    x = 8,439,025/2,540
  6. Step 6: Final answer
    x = 3,322.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.