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Finding the Third Proportional to 27,095.50 and 36,242

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Solution

The third proportional to 27,095.50 and 36,242 is: 48,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.50 : 36,242 = 36,242 : x
  2. Step 2: Convert to fraction form
    27,095.50/36,242 = 36,242/x
  3. Step 3: Cross multiply
    27,095.50x = 36,242 × 36,242
  4. Step 4: Simplify right side
    27,095.50x = 1,313,482,564
  5. Step 5: Solve for x
    x = 1,313,482,564/27,095.50
  6. Step 6: Final answer
    x = 48,476.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.