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Finding the Third Proportional to 14,468.63 and 21,206.81

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Solution

The third proportional to 14,468.63 and 21,206.81 is: 31,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.63 : 21,206.81 = 21,206.81 : x
  2. Step 2: Convert to fraction form
    14,468.63/21,206.81 = 21,206.81/x
  3. Step 3: Cross multiply
    14,468.63x = 21,206.81 × 21,206.81
  4. Step 4: Simplify right side
    14,468.63x = 449,728,896.41
  5. Step 5: Solve for x
    x = 449,728,896.41/14,468.63
  6. Step 6: Final answer
    x = 31,083.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.