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Finding the Third Proportional to 34,961.63 and 44,200.69

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Solution

The third proportional to 34,961.63 and 44,200.69 is: 55,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,961.63 : 44,200.69 = 44,200.69 : x
  2. Step 2: Convert to fraction form
    34,961.63/44,200.69 = 44,200.69/x
  3. Step 3: Cross multiply
    34,961.63x = 44,200.69 × 44,200.69
  4. Step 4: Simplify right side
    34,961.63x = 1,953,700,775.47
  5. Step 5: Solve for x
    x = 1,953,700,775.47/34,961.63
  6. Step 6: Final answer
    x = 55,881.29

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.