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Finding the Third Proportional to 33,787.50 and 53,001

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Solution

The third proportional to 33,787.50 and 53,001 is: 83,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,787.50 : 53,001 = 53,001 : x
  2. Step 2: Convert to fraction form
    33,787.50/53,001 = 53,001/x
  3. Step 3: Cross multiply
    33,787.50x = 53,001 × 53,001
  4. Step 4: Simplify right side
    33,787.50x = 2,809,106,001
  5. Step 5: Solve for x
    x = 2,809,106,001/33,787.50
  6. Step 6: Final answer
    x = 83,140.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.