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Finding the Third Proportional to 14,719 and 28,695

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Solution

The third proportional to 14,719 and 28,695 is: 55,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719 : 28,695 = 28,695 : x
  2. Step 2: Convert to fraction form
    14,719/28,695 = 28,695/x
  3. Step 3: Cross multiply
    14,719x = 28,695 × 28,695
  4. Step 4: Simplify right side
    14,719x = 823,403,025
  5. Step 5: Solve for x
    x = 823,403,025/14,719
  6. Step 6: Final answer
    x = 55,941.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.