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Finding the Third Proportional to 32,883.75 and 69,864.75

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Solution

The third proportional to 32,883.75 and 69,864.75 is: 148,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.75 : 69,864.75 = 69,864.75 : x
  2. Step 2: Convert to fraction form
    32,883.75/69,864.75 = 69,864.75/x
  3. Step 3: Cross multiply
    32,883.75x = 69,864.75 × 69,864.75
  4. Step 4: Simplify right side
    32,883.75x = 4,881,083,292.56
  5. Step 5: Solve for x
    x = 4,881,083,292.56/32,883.75
  6. Step 6: Final answer
    x = 148,434.51

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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.