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Finding the Third Proportional to 2,219.63 and 3,488.63

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Solution

The third proportional to 2,219.63 and 3,488.63 is: 5,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.63 : 3,488.63 = 3,488.63 : x
  2. Step 2: Convert to fraction form
    2,219.63/3,488.63 = 3,488.63/x
  3. Step 3: Cross multiply
    2,219.63x = 3,488.63 × 3,488.63
  4. Step 4: Simplify right side
    2,219.63x = 12,170,504.39
  5. Step 5: Solve for x
    x = 12,170,504.39/2,219.63
  6. Step 6: Final answer
    x = 5,483.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.