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Finding the Third Proportional to 29,318 and 69,140.25

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Solution

The third proportional to 29,318 and 69,140.25 is: 163,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,318 : 69,140.25 = 69,140.25 : x
  2. Step 2: Convert to fraction form
    29,318/69,140.25 = 69,140.25/x
  3. Step 3: Cross multiply
    29,318x = 69,140.25 × 69,140.25
  4. Step 4: Simplify right side
    29,318x = 4,780,374,170.06
  5. Step 5: Solve for x
    x = 4,780,374,170.06/29,318
  6. Step 6: Final answer
    x = 163,052.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.