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Finding the Third Proportional to 11,358.42 and 23,283.42

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Solution

The third proportional to 11,358.42 and 23,283.42 is: 47,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.42 : 23,283.42 = 23,283.42 : x
  2. Step 2: Convert to fraction form
    11,358.42/23,283.42 = 23,283.42/x
  3. Step 3: Cross multiply
    11,358.42x = 23,283.42 × 23,283.42
  4. Step 4: Simplify right side
    11,358.42x = 542,117,734.21
  5. Step 5: Solve for x
    x = 542,117,734.21/11,358.42
  6. Step 6: Final answer
    x = 47,728.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.