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Finding the Third Proportional to 2,612.63 and 5,590.13

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Solution

The third proportional to 2,612.63 and 5,590.13 is: 11,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.63 : 5,590.13 = 5,590.13 : x
  2. Step 2: Convert to fraction form
    2,612.63/5,590.13 = 5,590.13/x
  3. Step 3: Cross multiply
    2,612.63x = 5,590.13 × 5,590.13
  4. Step 4: Simplify right side
    2,612.63x = 31,249,497.52
  5. Step 5: Solve for x
    x = 31,249,497.52/2,612.63
  6. Step 6: Final answer
    x = 11,960.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.