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Finding the Third Proportional to 1,664.93 and 2,596.11

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Solution

The third proportional to 1,664.93 and 2,596.11 is: 4,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.93 : 2,596.11 = 2,596.11 : x
  2. Step 2: Convert to fraction form
    1,664.93/2,596.11 = 2,596.11/x
  3. Step 3: Cross multiply
    1,664.93x = 2,596.11 × 2,596.11
  4. Step 4: Simplify right side
    1,664.93x = 6,739,804.17
  5. Step 5: Solve for x
    x = 6,739,804.17/1,664.93
  6. Step 6: Final answer
    x = 4,048.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.