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Finding the Third Proportional to 11,360.25 and 24,516.42

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Solution

The third proportional to 11,360.25 and 24,516.42 is: 52,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.25 : 24,516.42 = 24,516.42 : x
  2. Step 2: Convert to fraction form
    11,360.25/24,516.42 = 24,516.42/x
  3. Step 3: Cross multiply
    11,360.25x = 24,516.42 × 24,516.42
  4. Step 4: Simplify right side
    11,360.25x = 601,054,941.55
  5. Step 5: Solve for x
    x = 601,054,941.55/11,360.25
  6. Step 6: Final answer
    x = 52,908.60

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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.