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Finding the Third Proportional to 47,145.38 and 64,065.94

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Solution

The third proportional to 47,145.38 and 64,065.94 is: 87,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145.38 : 64,065.94 = 64,065.94 : x
  2. Step 2: Convert to fraction form
    47,145.38/64,065.94 = 64,065.94/x
  3. Step 3: Cross multiply
    47,145.38x = 64,065.94 × 64,065.94
  4. Step 4: Simplify right side
    47,145.38x = 4,104,444,347.75
  5. Step 5: Solve for x
    x = 4,104,444,347.75/47,145.38
  6. Step 6: Final answer
    x = 87,059.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.