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Finding the Third Proportional to 2,657.50 and 7,229

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Solution

The third proportional to 2,657.50 and 7,229 is: 19,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.50 : 7,229 = 7,229 : x
  2. Step 2: Convert to fraction form
    2,657.50/7,229 = 7,229/x
  3. Step 3: Cross multiply
    2,657.50x = 7,229 × 7,229
  4. Step 4: Simplify right side
    2,657.50x = 52,258,441
  5. Step 5: Solve for x
    x = 52,258,441/2,657.50
  6. Step 6: Final answer
    x = 19,664.51

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.