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Finding the Third Proportional to 27,196 and 40,290

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Solution

The third proportional to 27,196 and 40,290 is: 59,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196 : 40,290 = 40,290 : x
  2. Step 2: Convert to fraction form
    27,196/40,290 = 40,290/x
  3. Step 3: Cross multiply
    27,196x = 40,290 × 40,290
  4. Step 4: Simplify right side
    27,196x = 1,623,284,100
  5. Step 5: Solve for x
    x = 1,623,284,100/27,196
  6. Step 6: Final answer
    x = 59,688.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.