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Finding the Third Proportional to 18,582 and 27,251

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Solution

The third proportional to 18,582 and 27,251 is: 39,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 27,251 = 27,251 : x
  2. Step 2: Convert to fraction form
    18,582/27,251 = 27,251/x
  3. Step 3: Cross multiply
    18,582x = 27,251 × 27,251
  4. Step 4: Simplify right side
    18,582x = 742,617,001
  5. Step 5: Solve for x
    x = 742,617,001/18,582
  6. Step 6: Final answer
    x = 39,964.32

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