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Finding the Third Proportional to 2,890 and 6,265.50

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Solution

The third proportional to 2,890 and 6,265.50 is: 13,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 6,265.50 = 6,265.50 : x
  2. Step 2: Convert to fraction form
    2,890/6,265.50 = 6,265.50/x
  3. Step 3: Cross multiply
    2,890x = 6,265.50 × 6,265.50
  4. Step 4: Simplify right side
    2,890x = 39,256,490.25
  5. Step 5: Solve for x
    x = 39,256,490.25/2,890
  6. Step 6: Final answer
    x = 13,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.