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Finding the Third Proportional to 2,480.63 and 5,585.63

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Solution

The third proportional to 2,480.63 and 5,585.63 is: 12,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.63 : 5,585.63 = 5,585.63 : x
  2. Step 2: Convert to fraction form
    2,480.63/5,585.63 = 5,585.63/x
  3. Step 3: Cross multiply
    2,480.63x = 5,585.63 × 5,585.63
  4. Step 4: Simplify right side
    2,480.63x = 31,199,206.64
  5. Step 5: Solve for x
    x = 31,199,206.64/2,480.63
  6. Step 6: Final answer
    x = 12,577.16

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.