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Finding the Third Proportional to 53,866.69 and 72,049.50

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Solution

The third proportional to 53,866.69 and 72,049.50 is: 96,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866.69 : 72,049.50 = 72,049.50 : x
  2. Step 2: Convert to fraction form
    53,866.69/72,049.50 = 72,049.50/x
  3. Step 3: Cross multiply
    53,866.69x = 72,049.50 × 72,049.50
  4. Step 4: Simplify right side
    53,866.69x = 5,191,130,450.25
  5. Step 5: Solve for x
    x = 5,191,130,450.25/53,866.69
  6. Step 6: Final answer
    x = 96,369.96

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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.