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Finding the Third Proportional to 34,539.76 and 51,596.33

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Solution

The third proportional to 34,539.76 and 51,596.33 is: 77,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539.76 : 51,596.33 = 51,596.33 : x
  2. Step 2: Convert to fraction form
    34,539.76/51,596.33 = 51,596.33/x
  3. Step 3: Cross multiply
    34,539.76x = 51,596.33 × 51,596.33
  4. Step 4: Simplify right side
    34,539.76x = 2,662,181,025.60
  5. Step 5: Solve for x
    x = 2,662,181,025.60/34,539.76
  6. Step 6: Final answer
    x = 77,075.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.