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Finding the Third Proportional to 971.44 and 2,107.13

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Solution

The third proportional to 971.44 and 2,107.13 is: 4,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.44 : 2,107.13 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    971.44/2,107.13 = 2,107.13/x
  3. Step 3: Cross multiply
    971.44x = 2,107.13 × 2,107.13
  4. Step 4: Simplify right side
    971.44x = 4,439,975.77
  5. Step 5: Solve for x
    x = 4,439,975.77/971.44
  6. Step 6: Final answer
    x = 4,570.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.