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Finding the Third Proportional to 9,874 and 13,047

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Solution

The third proportional to 9,874 and 13,047 is: 17,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874 : 13,047 = 13,047 : x
  2. Step 2: Convert to fraction form
    9,874/13,047 = 13,047/x
  3. Step 3: Cross multiply
    9,874x = 13,047 × 13,047
  4. Step 4: Simplify right side
    9,874x = 170,224,209
  5. Step 5: Solve for x
    x = 170,224,209/9,874
  6. Step 6: Final answer
    x = 17,239.64

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.