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Finding the Third Proportional to 34,068 and 51,405.75

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Solution

The third proportional to 34,068 and 51,405.75 is: 77,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068 : 51,405.75 = 51,405.75 : x
  2. Step 2: Convert to fraction form
    34,068/51,405.75 = 51,405.75/x
  3. Step 3: Cross multiply
    34,068x = 51,405.75 × 51,405.75
  4. Step 4: Simplify right side
    34,068x = 2,642,551,133.06
  5. Step 5: Solve for x
    x = 2,642,551,133.06/34,068
  6. Step 6: Final answer
    x = 77,566.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.