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Finding the Third Proportional to 14,679 and 22,738.50

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Solution

The third proportional to 14,679 and 22,738.50 is: 35,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679 : 22,738.50 = 22,738.50 : x
  2. Step 2: Convert to fraction form
    14,679/22,738.50 = 22,738.50/x
  3. Step 3: Cross multiply
    14,679x = 22,738.50 × 22,738.50
  4. Step 4: Simplify right side
    14,679x = 517,039,382.25
  5. Step 5: Solve for x
    x = 517,039,382.25/14,679
  6. Step 6: Final answer
    x = 35,223.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.