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Finding the Third Proportional to 14,840 and 23,111

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Solution

The third proportional to 14,840 and 23,111 is: 35,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840 : 23,111 = 23,111 : x
  2. Step 2: Convert to fraction form
    14,840/23,111 = 23,111/x
  3. Step 3: Cross multiply
    14,840x = 23,111 × 23,111
  4. Step 4: Simplify right side
    14,840x = 534,118,321
  5. Step 5: Solve for x
    x = 534,118,321/14,840
  6. Step 6: Final answer
    x = 35,991.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.