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Finding the Third Proportional to 1,559.09 and 3,407.22

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Solution

The third proportional to 1,559.09 and 3,407.22 is: 7,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.09 : 3,407.22 = 3,407.22 : x
  2. Step 2: Convert to fraction form
    1,559.09/3,407.22 = 3,407.22/x
  3. Step 3: Cross multiply
    1,559.09x = 3,407.22 × 3,407.22
  4. Step 4: Simplify right side
    1,559.09x = 11,609,152.92
  5. Step 5: Solve for x
    x = 11,609,152.92/1,559.09
  6. Step 6: Final answer
    x = 7,446.10

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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.