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Finding the Third Proportional to 32,292 and 70,974

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Solution

The third proportional to 32,292 and 70,974 is: 155,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 70,974 = 70,974 : x
  2. Step 2: Convert to fraction form
    32,292/70,974 = 70,974/x
  3. Step 3: Cross multiply
    32,292x = 70,974 × 70,974
  4. Step 4: Simplify right side
    32,292x = 5,037,308,676
  5. Step 5: Solve for x
    x = 5,037,308,676/32,292
  6. Step 6: Final answer
    x = 155,992.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.