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Finding the Third Proportional to 20,184.19 and 43,907.06

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Solution

The third proportional to 20,184.19 and 43,907.06 is: 95,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.19 : 43,907.06 = 43,907.06 : x
  2. Step 2: Convert to fraction form
    20,184.19/43,907.06 = 43,907.06/x
  3. Step 3: Cross multiply
    20,184.19x = 43,907.06 × 43,907.06
  4. Step 4: Simplify right side
    20,184.19x = 1,927,830,137.38
  5. Step 5: Solve for x
    x = 1,927,830,137.38/20,184.19
  6. Step 6: Final answer
    x = 95,511.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.