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Finding the Third Proportional to 35,004.38 and 76,813.13

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Solution

The third proportional to 35,004.38 and 76,813.13 is: 168,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,004.38 : 76,813.13 = 76,813.13 : x
  2. Step 2: Convert to fraction form
    35,004.38/76,813.13 = 76,813.13/x
  3. Step 3: Cross multiply
    35,004.38x = 76,813.13 × 76,813.13
  4. Step 4: Simplify right side
    35,004.38x = 5,900,256,172.27
  5. Step 5: Solve for x
    x = 5,900,256,172.27/35,004.38
  6. Step 6: Final answer
    x = 168,557.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.