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Finding the Third Proportional to 17,887.50 and 39,357

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Solution

The third proportional to 17,887.50 and 39,357 is: 86,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.50 : 39,357 = 39,357 : x
  2. Step 2: Convert to fraction form
    17,887.50/39,357 = 39,357/x
  3. Step 3: Cross multiply
    17,887.50x = 39,357 × 39,357
  4. Step 4: Simplify right side
    17,887.50x = 1,548,973,449
  5. Step 5: Solve for x
    x = 1,548,973,449/17,887.50
  6. Step 6: Final answer
    x = 86,595.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.