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Finding the Third Proportional to 6,213 and 14,556

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Solution

The third proportional to 6,213 and 14,556 is: 34,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 14,556 = 14,556 : x
  2. Step 2: Convert to fraction form
    6,213/14,556 = 14,556/x
  3. Step 3: Cross multiply
    6,213x = 14,556 × 14,556
  4. Step 4: Simplify right side
    6,213x = 211,877,136
  5. Step 5: Solve for x
    x = 211,877,136/6,213
  6. Step 6: Final answer
    x = 34,102.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.