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Finding the Third Proportional to 14,208 and 32,223

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Solution

The third proportional to 14,208 and 32,223 is: 73,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208 : 32,223 = 32,223 : x
  2. Step 2: Convert to fraction form
    14,208/32,223 = 32,223/x
  3. Step 3: Cross multiply
    14,208x = 32,223 × 32,223
  4. Step 4: Simplify right side
    14,208x = 1,038,321,729
  5. Step 5: Solve for x
    x = 1,038,321,729/14,208
  6. Step 6: Final answer
    x = 73,080.08

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.