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Finding the Third Proportional to 35,033 and 75,409

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Solution

The third proportional to 35,033 and 75,409 is: 162,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033 : 75,409 = 75,409 : x
  2. Step 2: Convert to fraction form
    35,033/75,409 = 75,409/x
  3. Step 3: Cross multiply
    35,033x = 75,409 × 75,409
  4. Step 4: Simplify right side
    35,033x = 5,686,517,281
  5. Step 5: Solve for x
    x = 5,686,517,281/35,033
  6. Step 6: Final answer
    x = 162,318.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.