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Finding the Third Proportional to 973.27 and 2,032.17

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Solution

The third proportional to 973.27 and 2,032.17 is: 4,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.27 : 2,032.17 = 2,032.17 : x
  2. Step 2: Convert to fraction form
    973.27/2,032.17 = 2,032.17/x
  3. Step 3: Cross multiply
    973.27x = 2,032.17 × 2,032.17
  4. Step 4: Simplify right side
    973.27x = 4,129,722.53
  5. Step 5: Solve for x
    x = 4,129,722.53/973.27
  6. Step 6: Final answer
    x = 4,243.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.