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Finding the Third Proportional to 47,276 and 71,896

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Solution

The third proportional to 47,276 and 71,896 is: 109,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,276 : 71,896 = 71,896 : x
  2. Step 2: Convert to fraction form
    47,276/71,896 = 71,896/x
  3. Step 3: Cross multiply
    47,276x = 71,896 × 71,896
  4. Step 4: Simplify right side
    47,276x = 5,169,034,816
  5. Step 5: Solve for x
    x = 5,169,034,816/47,276
  6. Step 6: Final answer
    x = 109,337.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.