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Finding the Third Proportional to 14,095.90 and 33,368.84

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Solution

The third proportional to 14,095.90 and 33,368.84 is: 78,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.90 : 33,368.84 = 33,368.84 : x
  2. Step 2: Convert to fraction form
    14,095.90/33,368.84 = 33,368.84/x
  3. Step 3: Cross multiply
    14,095.90x = 33,368.84 × 33,368.84
  4. Step 4: Simplify right side
    14,095.90x = 1,113,479,211.82
  5. Step 5: Solve for x
    x = 1,113,479,211.82/14,095.90
  6. Step 6: Final answer
    x = 78,993.14

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.