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Finding the Third Proportional to 21,588 and 47,177

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Solution

The third proportional to 21,588 and 47,177 is: 103,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588 : 47,177 = 47,177 : x
  2. Step 2: Convert to fraction form
    21,588/47,177 = 47,177/x
  3. Step 3: Cross multiply
    21,588x = 47,177 × 47,177
  4. Step 4: Simplify right side
    21,588x = 2,225,669,329
  5. Step 5: Solve for x
    x = 2,225,669,329/21,588
  6. Step 6: Final answer
    x = 103,097.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.