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Finding the Third Proportional to 11,457.70 and 17,064.42

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Solution

The third proportional to 11,457.70 and 17,064.42 is: 25,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.70 : 17,064.42 = 17,064.42 : x
  2. Step 2: Convert to fraction form
    11,457.70/17,064.42 = 17,064.42/x
  3. Step 3: Cross multiply
    11,457.70x = 17,064.42 × 17,064.42
  4. Step 4: Simplify right side
    11,457.70x = 291,194,493.93
  5. Step 5: Solve for x
    x = 291,194,493.93/11,457.70
  6. Step 6: Final answer
    x = 25,414.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.