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Finding the Third Proportional to 14,056 and 19,964

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Solution

The third proportional to 14,056 and 19,964 is: 28,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056 : 19,964 = 19,964 : x
  2. Step 2: Convert to fraction form
    14,056/19,964 = 19,964/x
  3. Step 3: Cross multiply
    14,056x = 19,964 × 19,964
  4. Step 4: Simplify right side
    14,056x = 398,561,296
  5. Step 5: Solve for x
    x = 398,561,296/14,056
  6. Step 6: Final answer
    x = 28,355.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.