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Finding the Third Proportional to 30,898.97 and 66,171.94

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Solution

The third proportional to 30,898.97 and 66,171.94 is: 141,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.97 : 66,171.94 = 66,171.94 : x
  2. Step 2: Convert to fraction form
    30,898.97/66,171.94 = 66,171.94/x
  3. Step 3: Cross multiply
    30,898.97x = 66,171.94 × 66,171.94
  4. Step 4: Simplify right side
    30,898.97x = 4,378,725,312.50
  5. Step 5: Solve for x
    x = 4,378,725,312.50/30,898.97
  6. Step 6: Final answer
    x = 141,711.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.