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Finding the Third Proportional to 47,712 and 73,914.38

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Solution

The third proportional to 47,712 and 73,914.38 is: 114,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 73,914.38 = 73,914.38 : x
  2. Step 2: Convert to fraction form
    47,712/73,914.38 = 73,914.38/x
  3. Step 3: Cross multiply
    47,712x = 73,914.38 × 73,914.38
  4. Step 4: Simplify right side
    47,712x = 5,463,334,831.64
  5. Step 5: Solve for x
    x = 5,463,334,831.64/47,712
  6. Step 6: Final answer
    x = 114,506.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.