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Finding the Third Proportional to 27,276 and 41,283

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Solution

The third proportional to 27,276 and 41,283 is: 62,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276 : 41,283 = 41,283 : x
  2. Step 2: Convert to fraction form
    27,276/41,283 = 41,283/x
  3. Step 3: Cross multiply
    27,276x = 41,283 × 41,283
  4. Step 4: Simplify right side
    27,276x = 1,704,286,089
  5. Step 5: Solve for x
    x = 1,704,286,089/27,276
  6. Step 6: Final answer
    x = 62,482.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.