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Finding the Third Proportional to 24,824 and 32,556

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Solution

The third proportional to 24,824 and 32,556 is: 42,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 32,556 = 32,556 : x
  2. Step 2: Convert to fraction form
    24,824/32,556 = 32,556/x
  3. Step 3: Cross multiply
    24,824x = 32,556 × 32,556
  4. Step 4: Simplify right side
    24,824x = 1,059,893,136
  5. Step 5: Solve for x
    x = 1,059,893,136/24,824
  6. Step 6: Final answer
    x = 42,696.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.