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Finding the Third Proportional to 14,701 and 22,085.50

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Solution

The third proportional to 14,701 and 22,085.50 is: 33,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701 : 22,085.50 = 22,085.50 : x
  2. Step 2: Convert to fraction form
    14,701/22,085.50 = 22,085.50/x
  3. Step 3: Cross multiply
    14,701x = 22,085.50 × 22,085.50
  4. Step 4: Simplify right side
    14,701x = 487,769,310.25
  5. Step 5: Solve for x
    x = 487,769,310.25/14,701
  6. Step 6: Final answer
    x = 33,179.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.