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Finding the Third Proportional to 15,724 and 17,938

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Solution

The third proportional to 15,724 and 17,938 is: 20,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 17,938 = 17,938 : x
  2. Step 2: Convert to fraction form
    15,724/17,938 = 17,938/x
  3. Step 3: Cross multiply
    15,724x = 17,938 × 17,938
  4. Step 4: Simplify right side
    15,724x = 321,771,844
  5. Step 5: Solve for x
    x = 321,771,844/15,724
  6. Step 6: Final answer
    x = 20,463.74

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.