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Finding the Third Proportional to 1,649.74 and 4,284.77

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Solution

The third proportional to 1,649.74 and 4,284.77 is: 11,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.74 : 4,284.77 = 4,284.77 : x
  2. Step 2: Convert to fraction form
    1,649.74/4,284.77 = 4,284.77/x
  3. Step 3: Cross multiply
    1,649.74x = 4,284.77 × 4,284.77
  4. Step 4: Simplify right side
    1,649.74x = 18,359,283.41
  5. Step 5: Solve for x
    x = 18,359,283.41/1,649.74
  6. Step 6: Final answer
    x = 11,128.58

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.