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Finding the Third Proportional to 19,804.78 and 44,037.84

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Solution

The third proportional to 19,804.78 and 44,037.84 is: 97,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.78 : 44,037.84 = 44,037.84 : x
  2. Step 2: Convert to fraction form
    19,804.78/44,037.84 = 44,037.84/x
  3. Step 3: Cross multiply
    19,804.78x = 44,037.84 × 44,037.84
  4. Step 4: Simplify right side
    19,804.78x = 1,939,331,682.15
  5. Step 5: Solve for x
    x = 1,939,331,682.15/19,804.78
  6. Step 6: Final answer
    x = 97,922.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.