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Finding the Third Proportional to 32,292 and 68,433

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Solution

The third proportional to 32,292 and 68,433 is: 145,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 68,433 = 68,433 : x
  2. Step 2: Convert to fraction form
    32,292/68,433 = 68,433/x
  3. Step 3: Cross multiply
    32,292x = 68,433 × 68,433
  4. Step 4: Simplify right side
    32,292x = 4,683,075,489
  5. Step 5: Solve for x
    x = 4,683,075,489/32,292
  6. Step 6: Final answer
    x = 145,022.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.