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Finding the Third Proportional to 2,612.63 and 5,625.19

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Solution

The third proportional to 2,612.63 and 5,625.19 is: 12,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.63 : 5,625.19 = 5,625.19 : x
  2. Step 2: Convert to fraction form
    2,612.63/5,625.19 = 5,625.19/x
  3. Step 3: Cross multiply
    2,612.63x = 5,625.19 × 5,625.19
  4. Step 4: Simplify right side
    2,612.63x = 31,642,734.41
  5. Step 5: Solve for x
    x = 31,642,734.41/2,612.63
  6. Step 6: Final answer
    x = 12,111.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.