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Finding the Third Proportional to 3,089.81 and 6,566.06

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Solution

The third proportional to 3,089.81 and 6,566.06 is: 13,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.81 : 6,566.06 = 6,566.06 : x
  2. Step 2: Convert to fraction form
    3,089.81/6,566.06 = 6,566.06/x
  3. Step 3: Cross multiply
    3,089.81x = 6,566.06 × 6,566.06
  4. Step 4: Simplify right side
    3,089.81x = 43,113,176.75
  5. Step 5: Solve for x
    x = 43,113,176.75/3,089.81
  6. Step 6: Final answer
    x = 13,953.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.