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Finding the Third Proportional to 1,945.27 and 4,699.90

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Solution

The third proportional to 1,945.27 and 4,699.90 is: 11,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.27 : 4,699.90 = 4,699.90 : x
  2. Step 2: Convert to fraction form
    1,945.27/4,699.90 = 4,699.90/x
  3. Step 3: Cross multiply
    1,945.27x = 4,699.90 × 4,699.90
  4. Step 4: Simplify right side
    1,945.27x = 22,089,045.32
  5. Step 5: Solve for x
    x = 22,089,045.32/1,945.27
  6. Step 6: Final answer
    x = 11,355.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.