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Finding the Third Proportional to 34,597.13 and 44,362.69

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Solution

The third proportional to 34,597.13 and 44,362.69 is: 56,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.13 : 44,362.69 = 44,362.69 : x
  2. Step 2: Convert to fraction form
    34,597.13/44,362.69 = 44,362.69/x
  3. Step 3: Cross multiply
    34,597.13x = 44,362.69 × 44,362.69
  4. Step 4: Simplify right side
    34,597.13x = 1,968,048,042.22
  5. Step 5: Solve for x
    x = 1,968,048,042.22/34,597.13
  6. Step 6: Final answer
    x = 56,884.73

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.