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Finding the Third Proportional to 14,243 and 26,707

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Solution

The third proportional to 14,243 and 26,707 is: 50,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243 : 26,707 = 26,707 : x
  2. Step 2: Convert to fraction form
    14,243/26,707 = 26,707/x
  3. Step 3: Cross multiply
    14,243x = 26,707 × 26,707
  4. Step 4: Simplify right side
    14,243x = 713,263,849
  5. Step 5: Solve for x
    x = 713,263,849/14,243
  6. Step 6: Final answer
    x = 50,078.20

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.