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Finding the Third Proportional to 4,495.59 and 9,883.41

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Solution

The third proportional to 4,495.59 and 9,883.41 is: 21,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.59 : 9,883.41 = 9,883.41 : x
  2. Step 2: Convert to fraction form
    4,495.59/9,883.41 = 9,883.41/x
  3. Step 3: Cross multiply
    4,495.59x = 9,883.41 × 9,883.41
  4. Step 4: Simplify right side
    4,495.59x = 97,681,719.10
  5. Step 5: Solve for x
    x = 97,681,719.10/4,495.59
  6. Step 6: Final answer
    x = 21,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.