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Finding the Third Proportional to 13,824 and 21,525.75

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Solution

The third proportional to 13,824 and 21,525.75 is: 33,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 21,525.75 = 21,525.75 : x
  2. Step 2: Convert to fraction form
    13,824/21,525.75 = 21,525.75/x
  3. Step 3: Cross multiply
    13,824x = 21,525.75 × 21,525.75
  4. Step 4: Simplify right side
    13,824x = 463,357,913.06
  5. Step 5: Solve for x
    x = 463,357,913.06/13,824
  6. Step 6: Final answer
    x = 33,518.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.