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Finding the Third Proportional to 14,650 and 21,653

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Solution

The third proportional to 14,650 and 21,653 is: 32,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650 : 21,653 = 21,653 : x
  2. Step 2: Convert to fraction form
    14,650/21,653 = 21,653/x
  3. Step 3: Cross multiply
    14,650x = 21,653 × 21,653
  4. Step 4: Simplify right side
    14,650x = 468,852,409
  5. Step 5: Solve for x
    x = 468,852,409/14,650
  6. Step 6: Final answer
    x = 32,003.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.