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Finding the Third Proportional to 54,785 and 72,835

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Solution

The third proportional to 54,785 and 72,835 is: 96,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785 : 72,835 = 72,835 : x
  2. Step 2: Convert to fraction form
    54,785/72,835 = 72,835/x
  3. Step 3: Cross multiply
    54,785x = 72,835 × 72,835
  4. Step 4: Simplify right side
    54,785x = 5,304,937,225
  5. Step 5: Solve for x
    x = 5,304,937,225/54,785
  6. Step 6: Final answer
    x = 96,831.93

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.