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Finding the Third Proportional to 1,405.69 and 3,673.69

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Solution

The third proportional to 1,405.69 and 3,673.69 is: 9,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.69 : 3,673.69 = 3,673.69 : x
  2. Step 2: Convert to fraction form
    1,405.69/3,673.69 = 3,673.69/x
  3. Step 3: Cross multiply
    1,405.69x = 3,673.69 × 3,673.69
  4. Step 4: Simplify right side
    1,405.69x = 13,495,979.85
  5. Step 5: Solve for x
    x = 13,495,979.85/1,405.69
  6. Step 6: Final answer
    x = 9,600.98

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.