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Finding the Third Proportional to 948.56 and 1,944

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Solution

The third proportional to 948.56 and 1,944 is: 3,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.56 : 1,944 = 1,944 : x
  2. Step 2: Convert to fraction form
    948.56/1,944 = 1,944/x
  3. Step 3: Cross multiply
    948.56x = 1,944 × 1,944
  4. Step 4: Simplify right side
    948.56x = 3,779,136
  5. Step 5: Solve for x
    x = 3,779,136/948.56
  6. Step 6: Final answer
    x = 3,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.