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Finding the Third Proportional to 48,704 and 73,058

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Solution

The third proportional to 48,704 and 73,058 is: 109,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,704 : 73,058 = 73,058 : x
  2. Step 2: Convert to fraction form
    48,704/73,058 = 73,058/x
  3. Step 3: Cross multiply
    48,704x = 73,058 × 73,058
  4. Step 4: Simplify right side
    48,704x = 5,337,471,364
  5. Step 5: Solve for x
    x = 5,337,471,364/48,704
  6. Step 6: Final answer
    x = 109,590.00

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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.