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Finding the Third Proportional to 3,646 and 7,798

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Solution

The third proportional to 3,646 and 7,798 is: 16,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 7,798 = 7,798 : x
  2. Step 2: Convert to fraction form
    3,646/7,798 = 7,798/x
  3. Step 3: Cross multiply
    3,646x = 7,798 × 7,798
  4. Step 4: Simplify right side
    3,646x = 60,808,804
  5. Step 5: Solve for x
    x = 60,808,804/3,646
  6. Step 6: Final answer
    x = 16,678.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.