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Finding the Third Proportional to 14,843 and 21,730

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Solution

The third proportional to 14,843 and 21,730 is: 31,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843 : 21,730 = 21,730 : x
  2. Step 2: Convert to fraction form
    14,843/21,730 = 21,730/x
  3. Step 3: Cross multiply
    14,843x = 21,730 × 21,730
  4. Step 4: Simplify right side
    14,843x = 472,192,900
  5. Step 5: Solve for x
    x = 472,192,900/14,843
  6. Step 6: Final answer
    x = 31,812.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.