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Finding the Third Proportional to 11,716 and 21,560

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Solution

The third proportional to 11,716 and 21,560 is: 39,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 21,560 = 21,560 : x
  2. Step 2: Convert to fraction form
    11,716/21,560 = 21,560/x
  3. Step 3: Cross multiply
    11,716x = 21,560 × 21,560
  4. Step 4: Simplify right side
    11,716x = 464,833,600
  5. Step 5: Solve for x
    x = 464,833,600/11,716
  6. Step 6: Final answer
    x = 39,675.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.