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Finding the Third Proportional to 18,513 and 27,283

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Solution

The third proportional to 18,513 and 27,283 is: 40,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513 : 27,283 = 27,283 : x
  2. Step 2: Convert to fraction form
    18,513/27,283 = 27,283/x
  3. Step 3: Cross multiply
    18,513x = 27,283 × 27,283
  4. Step 4: Simplify right side
    18,513x = 744,362,089
  5. Step 5: Solve for x
    x = 744,362,089/18,513
  6. Step 6: Final answer
    x = 40,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.