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Finding the Third Proportional to 2,407.50 and 5,226.50

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Solution

The third proportional to 2,407.50 and 5,226.50 is: 11,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 5,226.50 = 5,226.50 : x
  2. Step 2: Convert to fraction form
    2,407.50/5,226.50 = 5,226.50/x
  3. Step 3: Cross multiply
    2,407.50x = 5,226.50 × 5,226.50
  4. Step 4: Simplify right side
    2,407.50x = 27,316,302.25
  5. Step 5: Solve for x
    x = 27,316,302.25/2,407.50
  6. Step 6: Final answer
    x = 11,346.34

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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.