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Finding the Third Proportional to 5,263 and 7,603.50

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Solution

The third proportional to 5,263 and 7,603.50 is: 10,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263 : 7,603.50 = 7,603.50 : x
  2. Step 2: Convert to fraction form
    5,263/7,603.50 = 7,603.50/x
  3. Step 3: Cross multiply
    5,263x = 7,603.50 × 7,603.50
  4. Step 4: Simplify right side
    5,263x = 57,813,212.25
  5. Step 5: Solve for x
    x = 57,813,212.25/5,263
  6. Step 6: Final answer
    x = 10,984.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.