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Finding the Third Proportional to 14,058 and 19,779

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Solution

The third proportional to 14,058 and 19,779 is: 27,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058 : 19,779 = 19,779 : x
  2. Step 2: Convert to fraction form
    14,058/19,779 = 19,779/x
  3. Step 3: Cross multiply
    14,058x = 19,779 × 19,779
  4. Step 4: Simplify right side
    14,058x = 391,208,841
  5. Step 5: Solve for x
    x = 391,208,841/14,058
  6. Step 6: Final answer
    x = 27,828.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.