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Finding the Third Proportional to 1,555.59 and 2,302.59

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Solution

The third proportional to 1,555.59 and 2,302.59 is: 3,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.59 : 2,302.59 = 2,302.59 : x
  2. Step 2: Convert to fraction form
    1,555.59/2,302.59 = 2,302.59/x
  3. Step 3: Cross multiply
    1,555.59x = 2,302.59 × 2,302.59
  4. Step 4: Simplify right side
    1,555.59x = 5,301,937.98
  5. Step 5: Solve for x
    x = 5,301,937.98/1,555.59
  6. Step 6: Final answer
    x = 3,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.