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Finding the Third Proportional to 948.38 and 1,409.06

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Solution

The third proportional to 948.38 and 1,409.06 is: 2,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.38 : 1,409.06 = 1,409.06 : x
  2. Step 2: Convert to fraction form
    948.38/1,409.06 = 1,409.06/x
  3. Step 3: Cross multiply
    948.38x = 1,409.06 × 1,409.06
  4. Step 4: Simplify right side
    948.38x = 1,985,457.13
  5. Step 5: Solve for x
    x = 1,985,457.13/948.38
  6. Step 6: Final answer
    x = 2,093.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.