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Finding the Third Proportional to 47,666.25 and 69,905.53

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Solution

The third proportional to 47,666.25 and 69,905.53 is: 102,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666.25 : 69,905.53 = 69,905.53 : x
  2. Step 2: Convert to fraction form
    47,666.25/69,905.53 = 69,905.53/x
  3. Step 3: Cross multiply
    47,666.25x = 69,905.53 × 69,905.53
  4. Step 4: Simplify right side
    47,666.25x = 4,886,783,299.34
  5. Step 5: Solve for x
    x = 4,886,783,299.34/47,666.25
  6. Step 6: Final answer
    x = 102,520.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.