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Finding the Third Proportional to 3,161.63 and 4,752.63

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Solution

The third proportional to 3,161.63 and 4,752.63 is: 7,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.63 : 4,752.63 = 4,752.63 : x
  2. Step 2: Convert to fraction form
    3,161.63/4,752.63 = 4,752.63/x
  3. Step 3: Cross multiply
    3,161.63x = 4,752.63 × 4,752.63
  4. Step 4: Simplify right side
    3,161.63x = 22,587,444.39
  5. Step 5: Solve for x
    x = 22,587,444.39/3,161.63
  6. Step 6: Final answer
    x = 7,144.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.