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Finding the Third Proportional to 14,407 and 21,058

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Solution

The third proportional to 14,407 and 21,058 is: 30,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 21,058 = 21,058 : x
  2. Step 2: Convert to fraction form
    14,407/21,058 = 21,058/x
  3. Step 3: Cross multiply
    14,407x = 21,058 × 21,058
  4. Step 4: Simplify right side
    14,407x = 443,439,364
  5. Step 5: Solve for x
    x = 443,439,364/14,407
  6. Step 6: Final answer
    x = 30,779.44

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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.