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Finding the Third Proportional to 53,674.50 and 71,838.75

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Solution

The third proportional to 53,674.50 and 71,838.75 is: 96,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,674.50 : 71,838.75 = 71,838.75 : x
  2. Step 2: Convert to fraction form
    53,674.50/71,838.75 = 71,838.75/x
  3. Step 3: Cross multiply
    53,674.50x = 71,838.75 × 71,838.75
  4. Step 4: Simplify right side
    53,674.50x = 5,160,806,001.56
  5. Step 5: Solve for x
    x = 5,160,806,001.56/53,674.50
  6. Step 6: Final answer
    x = 96,150.05

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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.