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Finding the Third Proportional to 23,745 and 35,251.50

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Solution

The third proportional to 23,745 and 35,251.50 is: 52,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745 : 35,251.50 = 35,251.50 : x
  2. Step 2: Convert to fraction form
    23,745/35,251.50 = 35,251.50/x
  3. Step 3: Cross multiply
    23,745x = 35,251.50 × 35,251.50
  4. Step 4: Simplify right side
    23,745x = 1,242,668,252.25
  5. Step 5: Solve for x
    x = 1,242,668,252.25/23,745
  6. Step 6: Final answer
    x = 52,333.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.