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Finding the Third Proportional to 11,389.38 and 17,864.63

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Solution

The third proportional to 11,389.38 and 17,864.63 is: 28,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.38 : 17,864.63 = 17,864.63 : x
  2. Step 2: Convert to fraction form
    11,389.38/17,864.63 = 17,864.63/x
  3. Step 3: Cross multiply
    11,389.38x = 17,864.63 × 17,864.63
  4. Step 4: Simplify right side
    11,389.38x = 319,144,826.39
  5. Step 5: Solve for x
    x = 319,144,826.39/11,389.38
  6. Step 6: Final answer
    x = 28,021.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.