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Finding the Third Proportional to 2,303.44 and 5,024.53

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Solution

The third proportional to 2,303.44 and 5,024.53 is: 10,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.44 : 5,024.53 = 5,024.53 : x
  2. Step 2: Convert to fraction form
    2,303.44/5,024.53 = 5,024.53/x
  3. Step 3: Cross multiply
    2,303.44x = 5,024.53 × 5,024.53
  4. Step 4: Simplify right side
    2,303.44x = 25,245,914.28
  5. Step 5: Solve for x
    x = 25,245,914.28/2,303.44
  6. Step 6: Final answer
    x = 10,960.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.