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Finding the Third Proportional to 917.30 and 2,002.26

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Solution

The third proportional to 917.30 and 2,002.26 is: 4,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.30 : 2,002.26 = 2,002.26 : x
  2. Step 2: Convert to fraction form
    917.30/2,002.26 = 2,002.26/x
  3. Step 3: Cross multiply
    917.30x = 2,002.26 × 2,002.26
  4. Step 4: Simplify right side
    917.30x = 4,009,038.30
  5. Step 5: Solve for x
    x = 4,009,038.30/917.30
  6. Step 6: Final answer
    x = 4,370.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.