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Finding the Third Proportional to 23,197.50 and 35,257.50

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Solution

The third proportional to 23,197.50 and 35,257.50 is: 53,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.50 : 35,257.50 = 35,257.50 : x
  2. Step 2: Convert to fraction form
    23,197.50/35,257.50 = 35,257.50/x
  3. Step 3: Cross multiply
    23,197.50x = 35,257.50 × 35,257.50
  4. Step 4: Simplify right side
    23,197.50x = 1,243,091,306.25
  5. Step 5: Solve for x
    x = 1,243,091,306.25/23,197.50
  6. Step 6: Final answer
    x = 53,587.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.