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Finding the Third Proportional to 47,094.75 and 66,025.13

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Solution

The third proportional to 47,094.75 and 66,025.13 is: 92,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094.75 : 66,025.13 = 66,025.13 : x
  2. Step 2: Convert to fraction form
    47,094.75/66,025.13 = 66,025.13/x
  3. Step 3: Cross multiply
    47,094.75x = 66,025.13 × 66,025.13
  4. Step 4: Simplify right side
    47,094.75x = 4,359,317,131.27
  5. Step 5: Solve for x
    x = 4,359,317,131.27/47,094.75
  6. Step 6: Final answer
    x = 92,564.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.