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Finding the Third Proportional to 35,025 and 74,970.75

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Solution

The third proportional to 35,025 and 74,970.75 is: 160,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025 : 74,970.75 = 74,970.75 : x
  2. Step 2: Convert to fraction form
    35,025/74,970.75 = 74,970.75/x
  3. Step 3: Cross multiply
    35,025x = 74,970.75 × 74,970.75
  4. Step 4: Simplify right side
    35,025x = 5,620,613,355.56
  5. Step 5: Solve for x
    x = 5,620,613,355.56/35,025
  6. Step 6: Final answer
    x = 160,474.33

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Why These Related Problems?

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