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Finding the Third Proportional to 53,785.50 and 71,838

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Solution

The third proportional to 53,785.50 and 71,838 is: 95,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.50 : 71,838 = 71,838 : x
  2. Step 2: Convert to fraction form
    53,785.50/71,838 = 71,838/x
  3. Step 3: Cross multiply
    53,785.50x = 71,838 × 71,838
  4. Step 4: Simplify right side
    53,785.50x = 5,160,698,244
  5. Step 5: Solve for x
    x = 5,160,698,244/53,785.50
  6. Step 6: Final answer
    x = 95,949.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.