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Finding the Third Proportional to 27,108.75 and 41,719.50

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Solution

The third proportional to 27,108.75 and 41,719.50 is: 64,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.75 : 41,719.50 = 41,719.50 : x
  2. Step 2: Convert to fraction form
    27,108.75/41,719.50 = 41,719.50/x
  3. Step 3: Cross multiply
    27,108.75x = 41,719.50 × 41,719.50
  4. Step 4: Simplify right side
    27,108.75x = 1,740,516,680.25
  5. Step 5: Solve for x
    x = 1,740,516,680.25/27,108.75
  6. Step 6: Final answer
    x = 64,204.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.