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Finding the Third Proportional to 16,710.05 and 35,743.78

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Solution

The third proportional to 16,710.05 and 35,743.78 is: 76,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710.05 : 35,743.78 = 35,743.78 : x
  2. Step 2: Convert to fraction form
    16,710.05/35,743.78 = 35,743.78/x
  3. Step 3: Cross multiply
    16,710.05x = 35,743.78 × 35,743.78
  4. Step 4: Simplify right side
    16,710.05x = 1,277,617,898.05
  5. Step 5: Solve for x
    x = 1,277,617,898.05/16,710.05
  6. Step 6: Final answer
    x = 76,458.07

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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.