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Finding the Third Proportional to 48,612.66 and 74,993.34

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Solution

The third proportional to 48,612.66 and 74,993.34 is: 115,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,612.66 : 74,993.34 = 74,993.34 : x
  2. Step 2: Convert to fraction form
    48,612.66/74,993.34 = 74,993.34/x
  3. Step 3: Cross multiply
    48,612.66x = 74,993.34 × 74,993.34
  4. Step 4: Simplify right side
    48,612.66x = 5,624,001,606.81
  5. Step 5: Solve for x
    x = 5,624,001,606.81/48,612.66
  6. Step 6: Final answer
    x = 115,690.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.