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Finding the Third Proportional to 19,416.94 and 42,467.06

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Solution

The third proportional to 19,416.94 and 42,467.06 is: 92,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416.94 : 42,467.06 = 42,467.06 : x
  2. Step 2: Convert to fraction form
    19,416.94/42,467.06 = 42,467.06/x
  3. Step 3: Cross multiply
    19,416.94x = 42,467.06 × 42,467.06
  4. Step 4: Simplify right side
    19,416.94x = 1,803,451,397.38
  5. Step 5: Solve for x
    x = 1,803,451,397.38/19,416.94
  6. Step 6: Final answer
    x = 92,880.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.