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Finding the Third Proportional to 4,699.27 and 10,008.14

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Solution

The third proportional to 4,699.27 and 10,008.14 is: 21,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.27 : 10,008.14 = 10,008.14 : x
  2. Step 2: Convert to fraction form
    4,699.27/10,008.14 = 10,008.14/x
  3. Step 3: Cross multiply
    4,699.27x = 10,008.14 × 10,008.14
  4. Step 4: Simplify right side
    4,699.27x = 100,162,878.77
  5. Step 5: Solve for x
    x = 100,162,878.77/4,699.27
  6. Step 6: Final answer
    x = 21,314.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.