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Finding the Third Proportional to 14,447 and 19,591

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Solution

The third proportional to 14,447 and 19,591 is: 26,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447 : 19,591 = 19,591 : x
  2. Step 2: Convert to fraction form
    14,447/19,591 = 19,591/x
  3. Step 3: Cross multiply
    14,447x = 19,591 × 19,591
  4. Step 4: Simplify right side
    14,447x = 383,807,281
  5. Step 5: Solve for x
    x = 383,807,281/14,447
  6. Step 6: Final answer
    x = 26,566.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.