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Finding the Third Proportional to 23,054.50 and 35,251

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Solution

The third proportional to 23,054.50 and 35,251 is: 53,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.50 : 35,251 = 35,251 : x
  2. Step 2: Convert to fraction form
    23,054.50/35,251 = 35,251/x
  3. Step 3: Cross multiply
    23,054.50x = 35,251 × 35,251
  4. Step 4: Simplify right side
    23,054.50x = 1,242,633,001
  5. Step 5: Solve for x
    x = 1,242,633,001/23,054.50
  6. Step 6: Final answer
    x = 53,899.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.