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Finding the Third Proportional to 917.44 and 1,828.13

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Solution

The third proportional to 917.44 and 1,828.13 is: 3,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.44 : 1,828.13 = 1,828.13 : x
  2. Step 2: Convert to fraction form
    917.44/1,828.13 = 1,828.13/x
  3. Step 3: Cross multiply
    917.44x = 1,828.13 × 1,828.13
  4. Step 4: Simplify right side
    917.44x = 3,342,041.02
  5. Step 5: Solve for x
    x = 3,342,041.02/917.44
  6. Step 6: Final answer
    x = 3,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.