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Finding the Third Proportional to 971.91 and 1,369.31

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Solution

The third proportional to 971.91 and 1,369.31 is: 1,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.91 : 1,369.31 = 1,369.31 : x
  2. Step 2: Convert to fraction form
    971.91/1,369.31 = 1,369.31/x
  3. Step 3: Cross multiply
    971.91x = 1,369.31 × 1,369.31
  4. Step 4: Simplify right side
    971.91x = 1,875,016.72
  5. Step 5: Solve for x
    x = 1,875,016.72/971.91
  6. Step 6: Final answer
    x = 1,929.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.