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Finding the Third Proportional to 5,834.44 and 12,802.88

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Solution

The third proportional to 5,834.44 and 12,802.88 is: 28,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.44 : 12,802.88 = 12,802.88 : x
  2. Step 2: Convert to fraction form
    5,834.44/12,802.88 = 12,802.88/x
  3. Step 3: Cross multiply
    5,834.44x = 12,802.88 × 12,802.88
  4. Step 4: Simplify right side
    5,834.44x = 163,913,608.27
  5. Step 5: Solve for x
    x = 163,913,608.27/5,834.44
  6. Step 6: Final answer
    x = 28,094.16

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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.