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Finding the Third Proportional to 973.06 and 2,015.38

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Solution

The third proportional to 973.06 and 2,015.38 is: 4,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.06 : 2,015.38 = 2,015.38 : x
  2. Step 2: Convert to fraction form
    973.06/2,015.38 = 2,015.38/x
  3. Step 3: Cross multiply
    973.06x = 2,015.38 × 2,015.38
  4. Step 4: Simplify right side
    973.06x = 4,061,736.39
  5. Step 5: Solve for x
    x = 4,061,736.39/973.06
  6. Step 6: Final answer
    x = 4,174.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.