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Finding the Third Proportional to 34,403.48 and 53,170.80

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Solution

The third proportional to 34,403.48 and 53,170.80 is: 82,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.48 : 53,170.80 = 53,170.80 : x
  2. Step 2: Convert to fraction form
    34,403.48/53,170.80 = 53,170.80/x
  3. Step 3: Cross multiply
    34,403.48x = 53,170.80 × 53,170.80
  4. Step 4: Simplify right side
    34,403.48x = 2,827,134,471.12
  5. Step 5: Solve for x
    x = 2,827,134,471.12/34,403.48
  6. Step 6: Final answer
    x = 82,175.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.