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Finding the Third Proportional to 14,477 and 21,655

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Solution

The third proportional to 14,477 and 21,655 is: 32,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477 : 21,655 = 21,655 : x
  2. Step 2: Convert to fraction form
    14,477/21,655 = 21,655/x
  3. Step 3: Cross multiply
    14,477x = 21,655 × 21,655
  4. Step 4: Simplify right side
    14,477x = 468,939,025
  5. Step 5: Solve for x
    x = 468,939,025/14,477
  6. Step 6: Final answer
    x = 32,392.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.