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Finding the Third Proportional to 53,801.48 and 72,311.96

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Solution

The third proportional to 53,801.48 and 72,311.96 is: 97,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801.48 : 72,311.96 = 72,311.96 : x
  2. Step 2: Convert to fraction form
    53,801.48/72,311.96 = 72,311.96/x
  3. Step 3: Cross multiply
    53,801.48x = 72,311.96 × 72,311.96
  4. Step 4: Simplify right side
    53,801.48x = 5,229,019,412.16
  5. Step 5: Solve for x
    x = 5,229,019,412.16/53,801.48
  6. Step 6: Final answer
    x = 97,190.99

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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.