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Finding the Third Proportional to 2,038.50 and 4,430.25

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Solution

The third proportional to 2,038.50 and 4,430.25 is: 9,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 4,430.25 = 4,430.25 : x
  2. Step 2: Convert to fraction form
    2,038.50/4,430.25 = 4,430.25/x
  3. Step 3: Cross multiply
    2,038.50x = 4,430.25 × 4,430.25
  4. Step 4: Simplify right side
    2,038.50x = 19,627,115.06
  5. Step 5: Solve for x
    x = 19,627,115.06/2,038.50
  6. Step 6: Final answer
    x = 9,628.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.