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Finding the Third Proportional to 1,775 and 4,146

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Solution

The third proportional to 1,775 and 4,146 is: 9,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775 : 4,146 = 4,146 : x
  2. Step 2: Convert to fraction form
    1,775/4,146 = 4,146/x
  3. Step 3: Cross multiply
    1,775x = 4,146 × 4,146
  4. Step 4: Simplify right side
    1,775x = 17,189,316
  5. Step 5: Solve for x
    x = 17,189,316/1,775
  6. Step 6: Final answer
    x = 9,684.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.