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Finding the Third Proportional to 23,004 and 36,358.88

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Solution

The third proportional to 23,004 and 36,358.88 is: 57,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004 : 36,358.88 = 36,358.88 : x
  2. Step 2: Convert to fraction form
    23,004/36,358.88 = 36,358.88/x
  3. Step 3: Cross multiply
    23,004x = 36,358.88 × 36,358.88
  4. Step 4: Simplify right side
    23,004x = 1,321,967,791.27
  5. Step 5: Solve for x
    x = 1,321,967,791.27/23,004
  6. Step 6: Final answer
    x = 57,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.