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Finding the Third Proportional to 48,233.06 and 68,802.56

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Solution

The third proportional to 48,233.06 and 68,802.56 is: 98,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,233.06 : 68,802.56 = 68,802.56 : x
  2. Step 2: Convert to fraction form
    48,233.06/68,802.56 = 68,802.56/x
  3. Step 3: Cross multiply
    48,233.06x = 68,802.56 × 68,802.56
  4. Step 4: Simplify right side
    48,233.06x = 4,733,792,606.57
  5. Step 5: Solve for x
    x = 4,733,792,606.57/48,233.06
  6. Step 6: Final answer
    x = 98,144.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.