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Finding the Third Proportional to 35,004.75 and 53,237.25

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Solution

The third proportional to 35,004.75 and 53,237.25 is: 80,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,004.75 : 53,237.25 = 53,237.25 : x
  2. Step 2: Convert to fraction form
    35,004.75/53,237.25 = 53,237.25/x
  3. Step 3: Cross multiply
    35,004.75x = 53,237.25 × 53,237.25
  4. Step 4: Simplify right side
    35,004.75x = 2,834,204,787.56
  5. Step 5: Solve for x
    x = 2,834,204,787.56/35,004.75
  6. Step 6: Final answer
    x = 80,966.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.