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Finding the Third Proportional to 3,024.09 and 4,752.14

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Solution

The third proportional to 3,024.09 and 4,752.14 is: 7,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.09 : 4,752.14 = 4,752.14 : x
  2. Step 2: Convert to fraction form
    3,024.09/4,752.14 = 4,752.14/x
  3. Step 3: Cross multiply
    3,024.09x = 4,752.14 × 4,752.14
  4. Step 4: Simplify right side
    3,024.09x = 22,582,840.52
  5. Step 5: Solve for x
    x = 22,582,840.52/3,024.09
  6. Step 6: Final answer
    x = 7,467.64

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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.