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Finding the Third Proportional to 1,675.69 and 4,384.13

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Solution

The third proportional to 1,675.69 and 4,384.13 is: 11,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.69 : 4,384.13 = 4,384.13 : x
  2. Step 2: Convert to fraction form
    1,675.69/4,384.13 = 4,384.13/x
  3. Step 3: Cross multiply
    1,675.69x = 4,384.13 × 4,384.13
  4. Step 4: Simplify right side
    1,675.69x = 19,220,552.02
  5. Step 5: Solve for x
    x = 19,220,552.02/1,675.69
  6. Step 6: Final answer
    x = 11,470.25

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.