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Finding the Third Proportional to 14,056 and 19,684

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Solution

The third proportional to 14,056 and 19,684 is: 27,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056 : 19,684 = 19,684 : x
  2. Step 2: Convert to fraction form
    14,056/19,684 = 19,684/x
  3. Step 3: Cross multiply
    14,056x = 19,684 × 19,684
  4. Step 4: Simplify right side
    14,056x = 387,459,856
  5. Step 5: Solve for x
    x = 387,459,856/14,056
  6. Step 6: Final answer
    x = 27,565.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.