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Finding the Third Proportional to 47,453 and 71,071

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Solution

The third proportional to 47,453 and 71,071 is: 106,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,453 : 71,071 = 71,071 : x
  2. Step 2: Convert to fraction form
    47,453/71,071 = 71,071/x
  3. Step 3: Cross multiply
    47,453x = 71,071 × 71,071
  4. Step 4: Simplify right side
    47,453x = 5,051,087,041
  5. Step 5: Solve for x
    x = 5,051,087,041/47,453
  6. Step 6: Final answer
    x = 106,444.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.