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Finding the Third Proportional to 34,367.63 and 51,642.56

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Solution

The third proportional to 34,367.63 and 51,642.56 is: 77,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,367.63 : 51,642.56 = 51,642.56 : x
  2. Step 2: Convert to fraction form
    34,367.63/51,642.56 = 51,642.56/x
  3. Step 3: Cross multiply
    34,367.63x = 51,642.56 × 51,642.56
  4. Step 4: Simplify right side
    34,367.63x = 2,666,954,261.57
  5. Step 5: Solve for x
    x = 2,666,954,261.57/34,367.63
  6. Step 6: Final answer
    x = 77,600.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.