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Finding the Third Proportional to 14,240 and 21,556

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Solution

The third proportional to 14,240 and 21,556 is: 32,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240 : 21,556 = 21,556 : x
  2. Step 2: Convert to fraction form
    14,240/21,556 = 21,556/x
  3. Step 3: Cross multiply
    14,240x = 21,556 × 21,556
  4. Step 4: Simplify right side
    14,240x = 464,661,136
  5. Step 5: Solve for x
    x = 464,661,136/14,240
  6. Step 6: Final answer
    x = 32,630.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.