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Finding the Third Proportional to 9,442.83 and 10,422.42

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Solution

The third proportional to 9,442.83 and 10,422.42 is: 11,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.83 : 10,422.42 = 10,422.42 : x
  2. Step 2: Convert to fraction form
    9,442.83/10,422.42 = 10,422.42/x
  3. Step 3: Cross multiply
    9,442.83x = 10,422.42 × 10,422.42
  4. Step 4: Simplify right side
    9,442.83x = 108,626,877.74
  5. Step 5: Solve for x
    x = 108,626,877.74/9,442.83
  6. Step 6: Final answer
    x = 11,503.64

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.