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Finding the Third Proportional to 2,850 and 6,541

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Solution

The third proportional to 2,850 and 6,541 is: 15,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 6,541 = 6,541 : x
  2. Step 2: Convert to fraction form
    2,850/6,541 = 6,541/x
  3. Step 3: Cross multiply
    2,850x = 6,541 × 6,541
  4. Step 4: Simplify right side
    2,850x = 42,784,681
  5. Step 5: Solve for x
    x = 42,784,681/2,850
  6. Step 6: Final answer
    x = 15,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.