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Finding the Third Proportional to 32,924 and 70,456

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Solution

The third proportional to 32,924 and 70,456 is: 150,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 70,456 = 70,456 : x
  2. Step 2: Convert to fraction form
    32,924/70,456 = 70,456/x
  3. Step 3: Cross multiply
    32,924x = 70,456 × 70,456
  4. Step 4: Simplify right side
    32,924x = 4,964,047,936
  5. Step 5: Solve for x
    x = 4,964,047,936/32,924
  6. Step 6: Final answer
    x = 150,772.93

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