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Finding the Third Proportional to 14,809 and 23,446

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Solution

The third proportional to 14,809 and 23,446 is: 37,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809 : 23,446 = 23,446 : x
  2. Step 2: Convert to fraction form
    14,809/23,446 = 23,446/x
  3. Step 3: Cross multiply
    14,809x = 23,446 × 23,446
  4. Step 4: Simplify right side
    14,809x = 549,714,916
  5. Step 5: Solve for x
    x = 549,714,916/14,809
  6. Step 6: Final answer
    x = 37,120.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.