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Finding the Third Proportional to 2,207.50 and 5,207.50

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Solution

The third proportional to 2,207.50 and 5,207.50 is: 12,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.50 : 5,207.50 = 5,207.50 : x
  2. Step 2: Convert to fraction form
    2,207.50/5,207.50 = 5,207.50/x
  3. Step 3: Cross multiply
    2,207.50x = 5,207.50 × 5,207.50
  4. Step 4: Simplify right side
    2,207.50x = 27,118,056.25
  5. Step 5: Solve for x
    x = 27,118,056.25/2,207.50
  6. Step 6: Final answer
    x = 12,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.