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Finding the Third Proportional to 14,824 and 32,336

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Solution

The third proportional to 14,824 and 32,336 is: 70,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824 : 32,336 = 32,336 : x
  2. Step 2: Convert to fraction form
    14,824/32,336 = 32,336/x
  3. Step 3: Cross multiply
    14,824x = 32,336 × 32,336
  4. Step 4: Simplify right side
    14,824x = 1,045,616,896
  5. Step 5: Solve for x
    x = 1,045,616,896/14,824
  6. Step 6: Final answer
    x = 70,535.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.