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Finding the Third Proportional to 14,538 and 21,807

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Solution

The third proportional to 14,538 and 21,807 is: 32,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538 : 21,807 = 21,807 : x
  2. Step 2: Convert to fraction form
    14,538/21,807 = 21,807/x
  3. Step 3: Cross multiply
    14,538x = 21,807 × 21,807
  4. Step 4: Simplify right side
    14,538x = 475,545,249
  5. Step 5: Solve for x
    x = 475,545,249/14,538
  6. Step 6: Final answer
    x = 32,710.50

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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.