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Finding the Third Proportional to 5,296.64 and 11,419.10

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Solution

The third proportional to 5,296.64 and 11,419.10 is: 24,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 11,419.10 = 11,419.10 : x
  2. Step 2: Convert to fraction form
    5,296.64/11,419.10 = 11,419.10/x
  3. Step 3: Cross multiply
    5,296.64x = 11,419.10 × 11,419.10
  4. Step 4: Simplify right side
    5,296.64x = 130,395,880.49
  5. Step 5: Solve for x
    x = 130,395,880.49/5,296.64
  6. Step 6: Final answer
    x = 24,618.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.