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Finding the Third Proportional to 14,407 and 23,098

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Solution

The third proportional to 14,407 and 23,098 is: 37,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 23,098 = 23,098 : x
  2. Step 2: Convert to fraction form
    14,407/23,098 = 23,098/x
  3. Step 3: Cross multiply
    14,407x = 23,098 × 23,098
  4. Step 4: Simplify right side
    14,407x = 533,517,604
  5. Step 5: Solve for x
    x = 533,517,604/14,407
  6. Step 6: Final answer
    x = 37,031.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.