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Finding the Third Proportional to 5,968.69 and 13,937.91

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Solution

The third proportional to 5,968.69 and 13,937.91 is: 32,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 13,937.91 = 13,937.91 : x
  2. Step 2: Convert to fraction form
    5,968.69/13,937.91 = 13,937.91/x
  3. Step 3: Cross multiply
    5,968.69x = 13,937.91 × 13,937.91
  4. Step 4: Simplify right side
    5,968.69x = 194,265,230.63
  5. Step 5: Solve for x
    x = 194,265,230.63/5,968.69
  6. Step 6: Final answer
    x = 32,547.40

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.