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Finding the Third Proportional to 2,405.16 and 3,598.08

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Solution

The third proportional to 2,405.16 and 3,598.08 is: 5,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.16 : 3,598.08 = 3,598.08 : x
  2. Step 2: Convert to fraction form
    2,405.16/3,598.08 = 3,598.08/x
  3. Step 3: Cross multiply
    2,405.16x = 3,598.08 × 3,598.08
  4. Step 4: Simplify right side
    2,405.16x = 12,946,166.19
  5. Step 5: Solve for x
    x = 12,946,166.19/2,405.16
  6. Step 6: Final answer
    x = 5,382.67

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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.