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Finding the Third Proportional to 973.13 and 2,093.63

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Solution

The third proportional to 973.13 and 2,093.63 is: 4,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.13 : 2,093.63 = 2,093.63 : x
  2. Step 2: Convert to fraction form
    973.13/2,093.63 = 2,093.63/x
  3. Step 3: Cross multiply
    973.13x = 2,093.63 × 2,093.63
  4. Step 4: Simplify right side
    973.13x = 4,383,265.64
  5. Step 5: Solve for x
    x = 4,383,265.64/973.13
  6. Step 6: Final answer
    x = 4,504.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.