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Finding the Third Proportional to 35,426 and 74,850.50

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Solution

The third proportional to 35,426 and 74,850.50 is: 158,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426 : 74,850.50 = 74,850.50 : x
  2. Step 2: Convert to fraction form
    35,426/74,850.50 = 74,850.50/x
  3. Step 3: Cross multiply
    35,426x = 74,850.50 × 74,850.50
  4. Step 4: Simplify right side
    35,426x = 5,602,597,350.25
  5. Step 5: Solve for x
    x = 5,602,597,350.25/35,426
  6. Step 6: Final answer
    x = 158,149.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.