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Finding the Third Proportional to 1,731.63 and 2,596.77

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Solution

The third proportional to 1,731.63 and 2,596.77 is: 3,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.63 : 2,596.77 = 2,596.77 : x
  2. Step 2: Convert to fraction form
    1,731.63/2,596.77 = 2,596.77/x
  3. Step 3: Cross multiply
    1,731.63x = 2,596.77 × 2,596.77
  4. Step 4: Simplify right side
    1,731.63x = 6,743,191.71
  5. Step 5: Solve for x
    x = 6,743,191.71/1,731.63
  6. Step 6: Final answer
    x = 3,894.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.