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Finding the Third Proportional to 1,217.37 and 2,666.47

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Solution

The third proportional to 1,217.37 and 2,666.47 is: 5,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.37 : 2,666.47 = 2,666.47 : x
  2. Step 2: Convert to fraction form
    1,217.37/2,666.47 = 2,666.47/x
  3. Step 3: Cross multiply
    1,217.37x = 2,666.47 × 2,666.47
  4. Step 4: Simplify right side
    1,217.37x = 7,110,084.24
  5. Step 5: Solve for x
    x = 7,110,084.24/1,217.37
  6. Step 6: Final answer
    x = 5,840.51

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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.