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Finding the Third Proportional to 35,337.94 and 83,355.38

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Solution

The third proportional to 35,337.94 and 83,355.38 is: 196,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,337.94 : 83,355.38 = 83,355.38 : x
  2. Step 2: Convert to fraction form
    35,337.94/83,355.38 = 83,355.38/x
  3. Step 3: Cross multiply
    35,337.94x = 83,355.38 × 83,355.38
  4. Step 4: Simplify right side
    35,337.94x = 6,948,118,541.39
  5. Step 5: Solve for x
    x = 6,948,118,541.39/35,337.94
  6. Step 6: Final answer
    x = 196,619.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.