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Finding the Third Proportional to 34,394.84 and 51,434.02

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Solution

The third proportional to 34,394.84 and 51,434.02 is: 76,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.84 : 51,434.02 = 51,434.02 : x
  2. Step 2: Convert to fraction form
    34,394.84/51,434.02 = 51,434.02/x
  3. Step 3: Cross multiply
    34,394.84x = 51,434.02 × 51,434.02
  4. Step 4: Simplify right side
    34,394.84x = 2,645,457,963.31
  5. Step 5: Solve for x
    x = 2,645,457,963.31/34,394.84
  6. Step 6: Final answer
    x = 76,914.39

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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.