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Finding the Third Proportional to 14,225.63 and 21,682.69

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Solution

The third proportional to 14,225.63 and 21,682.69 is: 33,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.63 : 21,682.69 = 21,682.69 : x
  2. Step 2: Convert to fraction form
    14,225.63/21,682.69 = 21,682.69/x
  3. Step 3: Cross multiply
    14,225.63x = 21,682.69 × 21,682.69
  4. Step 4: Simplify right side
    14,225.63x = 470,138,937.22
  5. Step 5: Solve for x
    x = 470,138,937.22/14,225.63
  6. Step 6: Final answer
    x = 33,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.