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Finding the Third Proportional to 14,768.58 and 21,921.26

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Solution

The third proportional to 14,768.58 and 21,921.26 is: 32,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.58 : 21,921.26 = 21,921.26 : x
  2. Step 2: Convert to fraction form
    14,768.58/21,921.26 = 21,921.26/x
  3. Step 3: Cross multiply
    14,768.58x = 21,921.26 × 21,921.26
  4. Step 4: Simplify right side
    14,768.58x = 480,541,544.08
  5. Step 5: Solve for x
    x = 480,541,544.08/14,768.58
  6. Step 6: Final answer
    x = 32,538.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.