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Finding the Third Proportional to 2,834 and 6,457

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Solution

The third proportional to 2,834 and 6,457 is: 14,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 6,457 = 6,457 : x
  2. Step 2: Convert to fraction form
    2,834/6,457 = 6,457/x
  3. Step 3: Cross multiply
    2,834x = 6,457 × 6,457
  4. Step 4: Simplify right side
    2,834x = 41,692,849
  5. Step 5: Solve for x
    x = 41,692,849/2,834
  6. Step 6: Final answer
    x = 14,711.66

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.