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Finding the Third Proportional to 2,120 and 4,535.50

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Solution

The third proportional to 2,120 and 4,535.50 is: 9,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 4,535.50 = 4,535.50 : x
  2. Step 2: Convert to fraction form
    2,120/4,535.50 = 4,535.50/x
  3. Step 3: Cross multiply
    2,120x = 4,535.50 × 4,535.50
  4. Step 4: Simplify right side
    2,120x = 20,570,760.25
  5. Step 5: Solve for x
    x = 20,570,760.25/2,120
  6. Step 6: Final answer
    x = 9,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.