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Finding the Third Proportional to 15,974 and 33,602

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Solution

The third proportional to 15,974 and 33,602 is: 70,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974 : 33,602 = 33,602 : x
  2. Step 2: Convert to fraction form
    15,974/33,602 = 33,602/x
  3. Step 3: Cross multiply
    15,974x = 33,602 × 33,602
  4. Step 4: Simplify right side
    15,974x = 1,129,094,404
  5. Step 5: Solve for x
    x = 1,129,094,404/15,974
  6. Step 6: Final answer
    x = 70,683.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.