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Finding the Third Proportional to 13,820 and 20,730

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Solution

The third proportional to 13,820 and 20,730 is: 31,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820 : 20,730 = 20,730 : x
  2. Step 2: Convert to fraction form
    13,820/20,730 = 20,730/x
  3. Step 3: Cross multiply
    13,820x = 20,730 × 20,730
  4. Step 4: Simplify right side
    13,820x = 429,732,900
  5. Step 5: Solve for x
    x = 429,732,900/13,820
  6. Step 6: Final answer
    x = 31,095

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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.