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Finding the Third Proportional to 2,372.50 and 5,207

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Solution

The third proportional to 2,372.50 and 5,207 is: 11,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.50 : 5,207 = 5,207 : x
  2. Step 2: Convert to fraction form
    2,372.50/5,207 = 5,207/x
  3. Step 3: Cross multiply
    2,372.50x = 5,207 × 5,207
  4. Step 4: Simplify right side
    2,372.50x = 27,112,849
  5. Step 5: Solve for x
    x = 27,112,849/2,372.50
  6. Step 6: Final answer
    x = 11,427.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.