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Finding the Third Proportional to 10,118.67 and 14,904.42

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Solution

The third proportional to 10,118.67 and 14,904.42 is: 21,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.67 : 14,904.42 = 14,904.42 : x
  2. Step 2: Convert to fraction form
    10,118.67/14,904.42 = 14,904.42/x
  3. Step 3: Cross multiply
    10,118.67x = 14,904.42 × 14,904.42
  4. Step 4: Simplify right side
    10,118.67x = 222,141,791.43
  5. Step 5: Solve for x
    x = 222,141,791.43/10,118.67
  6. Step 6: Final answer
    x = 21,953.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.