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Finding the Third Proportional to 11,985.47 and 26,590.78

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Solution

The third proportional to 11,985.47 and 26,590.78 is: 58,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.47 : 26,590.78 = 26,590.78 : x
  2. Step 2: Convert to fraction form
    11,985.47/26,590.78 = 26,590.78/x
  3. Step 3: Cross multiply
    11,985.47x = 26,590.78 × 26,590.78
  4. Step 4: Simplify right side
    11,985.47x = 707,069,647.49
  5. Step 5: Solve for x
    x = 707,069,647.49/11,985.47
  6. Step 6: Final answer
    x = 58,993.91

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.