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Finding the Third Proportional to 5,685.19 and 11,653.88

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Solution

The third proportional to 5,685.19 and 11,653.88 is: 23,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.19 : 11,653.88 = 11,653.88 : x
  2. Step 2: Convert to fraction form
    5,685.19/11,653.88 = 11,653.88/x
  3. Step 3: Cross multiply
    5,685.19x = 11,653.88 × 11,653.88
  4. Step 4: Simplify right side
    5,685.19x = 135,812,802.52
  5. Step 5: Solve for x
    x = 135,812,802.52/5,685.19
  6. Step 6: Final answer
    x = 23,888.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.