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Finding the Third Proportional to 1,409.59 and 3,049.84

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Solution

The third proportional to 1,409.59 and 3,049.84 is: 6,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.59 : 3,049.84 = 3,049.84 : x
  2. Step 2: Convert to fraction form
    1,409.59/3,049.84 = 3,049.84/x
  3. Step 3: Cross multiply
    1,409.59x = 3,049.84 × 3,049.84
  4. Step 4: Simplify right side
    1,409.59x = 9,301,523.07
  5. Step 5: Solve for x
    x = 9,301,523.07/1,409.59
  6. Step 6: Final answer
    x = 6,598.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.