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Finding the Third Proportional to 39,492.50 and 86,366

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Solution

The third proportional to 39,492.50 and 86,366 is: 188,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,492.50 : 86,366 = 86,366 : x
  2. Step 2: Convert to fraction form
    39,492.50/86,366 = 86,366/x
  3. Step 3: Cross multiply
    39,492.50x = 86,366 × 86,366
  4. Step 4: Simplify right side
    39,492.50x = 7,459,085,956
  5. Step 5: Solve for x
    x = 7,459,085,956/39,492.50
  6. Step 6: Final answer
    x = 188,873.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.