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Finding the Third Proportional to 14,089.50 and 26,401.50

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Solution

The third proportional to 14,089.50 and 26,401.50 is: 49,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.50 : 26,401.50 = 26,401.50 : x
  2. Step 2: Convert to fraction form
    14,089.50/26,401.50 = 26,401.50/x
  3. Step 3: Cross multiply
    14,089.50x = 26,401.50 × 26,401.50
  4. Step 4: Simplify right side
    14,089.50x = 697,039,202.25
  5. Step 5: Solve for x
    x = 697,039,202.25/14,089.50
  6. Step 6: Final answer
    x = 49,472.25

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.