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Finding the Third Proportional to 2,876.50 and 6,210.50

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Solution

The third proportional to 2,876.50 and 6,210.50 is: 13,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.50 : 6,210.50 = 6,210.50 : x
  2. Step 2: Convert to fraction form
    2,876.50/6,210.50 = 6,210.50/x
  3. Step 3: Cross multiply
    2,876.50x = 6,210.50 × 6,210.50
  4. Step 4: Simplify right side
    2,876.50x = 38,570,310.25
  5. Step 5: Solve for x
    x = 38,570,310.25/2,876.50
  6. Step 6: Final answer
    x = 13,408.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.