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Finding the Third Proportional to 4,118.34 and 8,935.31

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Solution

The third proportional to 4,118.34 and 8,935.31 is: 19,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.34 : 8,935.31 = 8,935.31 : x
  2. Step 2: Convert to fraction form
    4,118.34/8,935.31 = 8,935.31/x
  3. Step 3: Cross multiply
    4,118.34x = 8,935.31 × 8,935.31
  4. Step 4: Simplify right side
    4,118.34x = 79,839,809.47
  5. Step 5: Solve for x
    x = 79,839,809.47/4,118.34
  6. Step 6: Final answer
    x = 19,386.39

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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.