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Finding the Third Proportional to 34,431.75 and 53,166.38

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Solution

The third proportional to 34,431.75 and 53,166.38 is: 82,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431.75 : 53,166.38 = 53,166.38 : x
  2. Step 2: Convert to fraction form
    34,431.75/53,166.38 = 53,166.38/x
  3. Step 3: Cross multiply
    34,431.75x = 53,166.38 × 53,166.38
  4. Step 4: Simplify right side
    34,431.75x = 2,826,663,430.64
  5. Step 5: Solve for x
    x = 2,826,663,430.64/34,431.75
  6. Step 6: Final answer
    x = 82,094.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.