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Finding the Third Proportional to 2,048.63 and 3,643.13

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Solution

The third proportional to 2,048.63 and 3,643.13 is: 6,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.63 : 3,643.13 = 3,643.13 : x
  2. Step 2: Convert to fraction form
    2,048.63/3,643.13 = 3,643.13/x
  3. Step 3: Cross multiply
    2,048.63x = 3,643.13 × 3,643.13
  4. Step 4: Simplify right side
    2,048.63x = 13,272,359.77
  5. Step 5: Solve for x
    x = 13,272,359.77/2,048.63
  6. Step 6: Final answer
    x = 6,478.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.