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Finding the Third Proportional to 10,395.88 and 22,568.75

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Solution

The third proportional to 10,395.88 and 22,568.75 is: 48,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.88 : 22,568.75 = 22,568.75 : x
  2. Step 2: Convert to fraction form
    10,395.88/22,568.75 = 22,568.75/x
  3. Step 3: Cross multiply
    10,395.88x = 22,568.75 × 22,568.75
  4. Step 4: Simplify right side
    10,395.88x = 509,348,476.56
  5. Step 5: Solve for x
    x = 509,348,476.56/10,395.88
  6. Step 6: Final answer
    x = 48,995.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.