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Finding the Third Proportional to 32,972.50 and 69,869

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Solution

The third proportional to 32,972.50 and 69,869 is: 148,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.50 : 69,869 = 69,869 : x
  2. Step 2: Convert to fraction form
    32,972.50/69,869 = 69,869/x
  3. Step 3: Cross multiply
    32,972.50x = 69,869 × 69,869
  4. Step 4: Simplify right side
    32,972.50x = 4,881,677,161
  5. Step 5: Solve for x
    x = 4,881,677,161/32,972.50
  6. Step 6: Final answer
    x = 148,052.99

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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.