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Finding the Third Proportional to 1,669.36 and 2,595.16

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Solution

The third proportional to 1,669.36 and 2,595.16 is: 4,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.36 : 2,595.16 = 2,595.16 : x
  2. Step 2: Convert to fraction form
    1,669.36/2,595.16 = 2,595.16/x
  3. Step 3: Cross multiply
    1,669.36x = 2,595.16 × 2,595.16
  4. Step 4: Simplify right side
    1,669.36x = 6,734,876.51
  5. Step 5: Solve for x
    x = 6,734,876.51/1,669.36
  6. Step 6: Final answer
    x = 4,034.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.