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Finding the Third Proportional to 9,284.50 and 10,094.50

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Solution

The third proportional to 9,284.50 and 10,094.50 is: 10,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.50 : 10,094.50 = 10,094.50 : x
  2. Step 2: Convert to fraction form
    9,284.50/10,094.50 = 10,094.50/x
  3. Step 3: Cross multiply
    9,284.50x = 10,094.50 × 10,094.50
  4. Step 4: Simplify right side
    9,284.50x = 101,898,930.25
  5. Step 5: Solve for x
    x = 101,898,930.25/9,284.50
  6. Step 6: Final answer
    x = 10,975.17

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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.