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Finding the Third Proportional to 14,866 and 22,803

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Solution

The third proportional to 14,866 and 22,803 is: 34,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866 : 22,803 = 22,803 : x
  2. Step 2: Convert to fraction form
    14,866/22,803 = 22,803/x
  3. Step 3: Cross multiply
    14,866x = 22,803 × 22,803
  4. Step 4: Simplify right side
    14,866x = 519,976,809
  5. Step 5: Solve for x
    x = 519,976,809/14,866
  6. Step 6: Final answer
    x = 34,977.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.