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Finding the Third Proportional to 2,103 and 5,320.50

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Solution

The third proportional to 2,103 and 5,320.50 is: 13,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103 : 5,320.50 = 5,320.50 : x
  2. Step 2: Convert to fraction form
    2,103/5,320.50 = 5,320.50/x
  3. Step 3: Cross multiply
    2,103x = 5,320.50 × 5,320.50
  4. Step 4: Simplify right side
    2,103x = 28,307,720.25
  5. Step 5: Solve for x
    x = 28,307,720.25/2,103
  6. Step 6: Final answer
    x = 13,460.64

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.