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Finding the Third Proportional to 1,488.09 and 3,173.63

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Solution

The third proportional to 1,488.09 and 3,173.63 is: 6,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.09 : 3,173.63 = 3,173.63 : x
  2. Step 2: Convert to fraction form
    1,488.09/3,173.63 = 3,173.63/x
  3. Step 3: Cross multiply
    1,488.09x = 3,173.63 × 3,173.63
  4. Step 4: Simplify right side
    1,488.09x = 10,071,895.64
  5. Step 5: Solve for x
    x = 10,071,895.64/1,488.09
  6. Step 6: Final answer
    x = 6,768.32

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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.