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Finding the Third Proportional to 14,410.41 and 21,468.80

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Solution

The third proportional to 14,410.41 and 21,468.80 is: 31,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.41 : 21,468.80 = 21,468.80 : x
  2. Step 2: Convert to fraction form
    14,410.41/21,468.80 = 21,468.80/x
  3. Step 3: Cross multiply
    14,410.41x = 21,468.80 × 21,468.80
  4. Step 4: Simplify right side
    14,410.41x = 460,909,239.26
  5. Step 5: Solve for x
    x = 460,909,239.26/14,410.41
  6. Step 6: Final answer
    x = 31,984.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.