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Finding the Third Proportional to 3,024.14 and 4,752.21

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Solution

The third proportional to 3,024.14 and 4,752.21 is: 7,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.14 : 4,752.21 = 4,752.21 : x
  2. Step 2: Convert to fraction form
    3,024.14/4,752.21 = 4,752.21/x
  3. Step 3: Cross multiply
    3,024.14x = 4,752.21 × 4,752.21
  4. Step 4: Simplify right side
    3,024.14x = 22,583,508.79
  5. Step 5: Solve for x
    x = 22,583,508.79/3,024.14
  6. Step 6: Final answer
    x = 7,467.74

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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.