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Finding the Third Proportional to 2,422.41 and 5,315.63

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Solution

The third proportional to 2,422.41 and 5,315.63 is: 11,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.41 : 5,315.63 = 5,315.63 : x
  2. Step 2: Convert to fraction form
    2,422.41/5,315.63 = 5,315.63/x
  3. Step 3: Cross multiply
    2,422.41x = 5,315.63 × 5,315.63
  4. Step 4: Simplify right side
    2,422.41x = 28,255,869.14
  5. Step 5: Solve for x
    x = 28,255,869.14/2,422.41
  6. Step 6: Final answer
    x = 11,664.38

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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.