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Finding the Third Proportional to 35,051 and 75,022

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Solution

The third proportional to 35,051 and 75,022 is: 160,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,051 : 75,022 = 75,022 : x
  2. Step 2: Convert to fraction form
    35,051/75,022 = 75,022/x
  3. Step 3: Cross multiply
    35,051x = 75,022 × 75,022
  4. Step 4: Simplify right side
    35,051x = 5,628,300,484
  5. Step 5: Solve for x
    x = 5,628,300,484/35,051
  6. Step 6: Final answer
    x = 160,574.61

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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.