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Finding the Third Proportional to 973.31 and 2,135.44

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Solution

The third proportional to 973.31 and 2,135.44 is: 4,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.31 : 2,135.44 = 2,135.44 : x
  2. Step 2: Convert to fraction form
    973.31/2,135.44 = 2,135.44/x
  3. Step 3: Cross multiply
    973.31x = 2,135.44 × 2,135.44
  4. Step 4: Simplify right side
    973.31x = 4,560,093.32
  5. Step 5: Solve for x
    x = 4,560,093.32/973.31
  6. Step 6: Final answer
    x = 4,685.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.