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Finding the Third Proportional to 12,804.75 and 27,585

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Solution

The third proportional to 12,804.75 and 27,585 is: 59,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.75 : 27,585 = 27,585 : x
  2. Step 2: Convert to fraction form
    12,804.75/27,585 = 27,585/x
  3. Step 3: Cross multiply
    12,804.75x = 27,585 × 27,585
  4. Step 4: Simplify right side
    12,804.75x = 760,932,225
  5. Step 5: Solve for x
    x = 760,932,225/12,804.75
  6. Step 6: Final answer
    x = 59,425.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.