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Finding the Third Proportional to 1,698 and 3,610.50

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Solution

The third proportional to 1,698 and 3,610.50 is: 7,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 3,610.50 = 3,610.50 : x
  2. Step 2: Convert to fraction form
    1,698/3,610.50 = 3,610.50/x
  3. Step 3: Cross multiply
    1,698x = 3,610.50 × 3,610.50
  4. Step 4: Simplify right side
    1,698x = 13,035,710.25
  5. Step 5: Solve for x
    x = 13,035,710.25/1,698
  6. Step 6: Final answer
    x = 7,677.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.