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Finding the Third Proportional to 9,146 and 13,681

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Solution

The third proportional to 9,146 and 13,681 is: 20,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 13,681 = 13,681 : x
  2. Step 2: Convert to fraction form
    9,146/13,681 = 13,681/x
  3. Step 3: Cross multiply
    9,146x = 13,681 × 13,681
  4. Step 4: Simplify right side
    9,146x = 187,169,761
  5. Step 5: Solve for x
    x = 187,169,761/9,146
  6. Step 6: Final answer
    x = 20,464.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.