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Finding the Third Proportional to 2,080.13 and 4,415.63

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Solution

The third proportional to 2,080.13 and 4,415.63 is: 9,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.13 : 4,415.63 = 4,415.63 : x
  2. Step 2: Convert to fraction form
    2,080.13/4,415.63 = 4,415.63/x
  3. Step 3: Cross multiply
    2,080.13x = 4,415.63 × 4,415.63
  4. Step 4: Simplify right side
    2,080.13x = 19,497,744.14
  5. Step 5: Solve for x
    x = 19,497,744.14/2,080.13
  6. Step 6: Final answer
    x = 9,373.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.