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Finding the Third Proportional to 23,101.50 and 37,204.50

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Solution

The third proportional to 23,101.50 and 37,204.50 is: 59,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.50 : 37,204.50 = 37,204.50 : x
  2. Step 2: Convert to fraction form
    23,101.50/37,204.50 = 37,204.50/x
  3. Step 3: Cross multiply
    23,101.50x = 37,204.50 × 37,204.50
  4. Step 4: Simplify right side
    23,101.50x = 1,384,174,820.25
  5. Step 5: Solve for x
    x = 1,384,174,820.25/23,101.50
  6. Step 6: Final answer
    x = 59,917.10

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.