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Finding the Third Proportional to 9,482.06 and 10,292.06

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Solution

The third proportional to 9,482.06 and 10,292.06 is: 11,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.06 : 10,292.06 = 10,292.06 : x
  2. Step 2: Convert to fraction form
    9,482.06/10,292.06 = 10,292.06/x
  3. Step 3: Cross multiply
    9,482.06x = 10,292.06 × 10,292.06
  4. Step 4: Simplify right side
    9,482.06x = 105,926,550.50
  5. Step 5: Solve for x
    x = 105,926,550.50/9,482.06
  6. Step 6: Final answer
    x = 11,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.