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Finding the Third Proportional to 13,964 and 19,532

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Solution

The third proportional to 13,964 and 19,532 is: 27,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 19,532 = 19,532 : x
  2. Step 2: Convert to fraction form
    13,964/19,532 = 19,532/x
  3. Step 3: Cross multiply
    13,964x = 19,532 × 19,532
  4. Step 4: Simplify right side
    13,964x = 381,499,024
  5. Step 5: Solve for x
    x = 381,499,024/13,964
  6. Step 6: Final answer
    x = 27,320.18

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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.