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Finding the Third Proportional to 22,884.75 and 49,575.63

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Solution

The third proportional to 22,884.75 and 49,575.63 is: 107,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.75 : 49,575.63 = 49,575.63 : x
  2. Step 2: Convert to fraction form
    22,884.75/49,575.63 = 49,575.63/x
  3. Step 3: Cross multiply
    22,884.75x = 49,575.63 × 49,575.63
  4. Step 4: Simplify right side
    22,884.75x = 2,457,742,594.14
  5. Step 5: Solve for x
    x = 2,457,742,594.14/22,884.75
  6. Step 6: Final answer
    x = 107,396.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.