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Finding the Third Proportional to 14,109 and 32,806.50

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Solution

The third proportional to 14,109 and 32,806.50 is: 76,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109 : 32,806.50 = 32,806.50 : x
  2. Step 2: Convert to fraction form
    14,109/32,806.50 = 32,806.50/x
  3. Step 3: Cross multiply
    14,109x = 32,806.50 × 32,806.50
  4. Step 4: Simplify right side
    14,109x = 1,076,266,442.25
  5. Step 5: Solve for x
    x = 1,076,266,442.25/14,109
  6. Step 6: Final answer
    x = 76,282.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.