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Finding the Third Proportional to 14,458.50 and 33,630.19

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Solution

The third proportional to 14,458.50 and 33,630.19 is: 78,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.50 : 33,630.19 = 33,630.19 : x
  2. Step 2: Convert to fraction form
    14,458.50/33,630.19 = 33,630.19/x
  3. Step 3: Cross multiply
    14,458.50x = 33,630.19 × 33,630.19
  4. Step 4: Simplify right side
    14,458.50x = 1,130,989,511.29
  5. Step 5: Solve for x
    x = 1,130,989,511.29/14,458.50
  6. Step 6: Final answer
    x = 78,223.16

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