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Finding the Third Proportional to 2,293.73 and 5,024.95

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Solution

The third proportional to 2,293.73 and 5,024.95 is: 11,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.73 : 5,024.95 = 5,024.95 : x
  2. Step 2: Convert to fraction form
    2,293.73/5,024.95 = 5,024.95/x
  3. Step 3: Cross multiply
    2,293.73x = 5,024.95 × 5,024.95
  4. Step 4: Simplify right side
    2,293.73x = 25,250,153.91
  5. Step 5: Solve for x
    x = 25,250,153.91/2,293.73
  6. Step 6: Final answer
    x = 11,008.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.