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Finding the Third Proportional to 12,090.75 and 17,123.63

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Solution

The third proportional to 12,090.75 and 17,123.63 is: 24,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.75 : 17,123.63 = 17,123.63 : x
  2. Step 2: Convert to fraction form
    12,090.75/17,123.63 = 17,123.63/x
  3. Step 3: Cross multiply
    12,090.75x = 17,123.63 × 17,123.63
  4. Step 4: Simplify right side
    12,090.75x = 293,218,533.14
  5. Step 5: Solve for x
    x = 293,218,533.14/12,090.75
  6. Step 6: Final answer
    x = 24,251.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.