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Finding the Third Proportional to 11,590.88 and 17,607.38

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Solution

The third proportional to 11,590.88 and 17,607.38 is: 26,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.88 : 17,607.38 = 17,607.38 : x
  2. Step 2: Convert to fraction form
    11,590.88/17,607.38 = 17,607.38/x
  3. Step 3: Cross multiply
    11,590.88x = 17,607.38 × 17,607.38
  4. Step 4: Simplify right side
    11,590.88x = 310,019,654.39
  5. Step 5: Solve for x
    x = 310,019,654.39/11,590.88
  6. Step 6: Final answer
    x = 26,746.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.