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Finding the Third Proportional to 23,010.75 and 47,489.50

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Solution

The third proportional to 23,010.75 and 47,489.50 is: 98,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.75 : 47,489.50 = 47,489.50 : x
  2. Step 2: Convert to fraction form
    23,010.75/47,489.50 = 47,489.50/x
  3. Step 3: Cross multiply
    23,010.75x = 47,489.50 × 47,489.50
  4. Step 4: Simplify right side
    23,010.75x = 2,255,252,610.25
  5. Step 5: Solve for x
    x = 2,255,252,610.25/23,010.75
  6. Step 6: Final answer
    x = 98,008.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.