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Finding the Third Proportional to 2,458.69 and 3,596.06

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Solution

The third proportional to 2,458.69 and 3,596.06 is: 5,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.69 : 3,596.06 = 3,596.06 : x
  2. Step 2: Convert to fraction form
    2,458.69/3,596.06 = 3,596.06/x
  3. Step 3: Cross multiply
    2,458.69x = 3,596.06 × 3,596.06
  4. Step 4: Simplify right side
    2,458.69x = 12,931,665.50
  5. Step 5: Solve for x
    x = 12,931,665.50/2,458.69
  6. Step 6: Final answer
    x = 5,259.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.