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Finding the Third Proportional to 5,845.29 and 12,784.08

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Solution

The third proportional to 5,845.29 and 12,784.08 is: 27,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.29 : 12,784.08 = 12,784.08 : x
  2. Step 2: Convert to fraction form
    5,845.29/12,784.08 = 12,784.08/x
  3. Step 3: Cross multiply
    5,845.29x = 12,784.08 × 12,784.08
  4. Step 4: Simplify right side
    5,845.29x = 163,432,653.51
  5. Step 5: Solve for x
    x = 163,432,653.51/5,845.29
  6. Step 6: Final answer
    x = 27,959.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.