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Finding the Third Proportional to 1,776 and 4,146

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Solution

The third proportional to 1,776 and 4,146 is: 9,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776 : 4,146 = 4,146 : x
  2. Step 2: Convert to fraction form
    1,776/4,146 = 4,146/x
  3. Step 3: Cross multiply
    1,776x = 4,146 × 4,146
  4. Step 4: Simplify right side
    1,776x = 17,189,316
  5. Step 5: Solve for x
    x = 17,189,316/1,776
  6. Step 6: Final answer
    x = 9,678.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.