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Finding the Third Proportional to 23,257.76 and 35,946.91

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Solution

The third proportional to 23,257.76 and 35,946.91 is: 55,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.76 : 35,946.91 = 35,946.91 : x
  2. Step 2: Convert to fraction form
    23,257.76/35,946.91 = 35,946.91/x
  3. Step 3: Cross multiply
    23,257.76x = 35,946.91 × 35,946.91
  4. Step 4: Simplify right side
    23,257.76x = 1,292,180,630.62
  5. Step 5: Solve for x
    x = 1,292,180,630.62/23,257.76
  6. Step 6: Final answer
    x = 55,559.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.