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Finding the Third Proportional to 4,430.25 and 5,911.31

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Solution

The third proportional to 4,430.25 and 5,911.31 is: 7,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.25 : 5,911.31 = 5,911.31 : x
  2. Step 2: Convert to fraction form
    4,430.25/5,911.31 = 5,911.31/x
  3. Step 3: Cross multiply
    4,430.25x = 5,911.31 × 5,911.31
  4. Step 4: Simplify right side
    4,430.25x = 34,943,615.47
  5. Step 5: Solve for x
    x = 34,943,615.47/4,430.25
  6. Step 6: Final answer
    x = 7,887.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.