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Finding the Third Proportional to 10,324 and 14,556

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Solution

The third proportional to 10,324 and 14,556 is: 20,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 14,556 = 14,556 : x
  2. Step 2: Convert to fraction form
    10,324/14,556 = 14,556/x
  3. Step 3: Cross multiply
    10,324x = 14,556 × 14,556
  4. Step 4: Simplify right side
    10,324x = 211,877,136
  5. Step 5: Solve for x
    x = 211,877,136/10,324
  6. Step 6: Final answer
    x = 20,522.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.