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Finding the Third Proportional to 1,477.59 and 2,247.09

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Solution

The third proportional to 1,477.59 and 2,247.09 is: 3,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.59 : 2,247.09 = 2,247.09 : x
  2. Step 2: Convert to fraction form
    1,477.59/2,247.09 = 2,247.09/x
  3. Step 3: Cross multiply
    1,477.59x = 2,247.09 × 2,247.09
  4. Step 4: Simplify right side
    1,477.59x = 5,049,430.32
  5. Step 5: Solve for x
    x = 5,049,430.32/1,477.59
  6. Step 6: Final answer
    x = 3,417.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.