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Finding the Third Proportional to 5,408 and 7,300

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Solution

The third proportional to 5,408 and 7,300 is: 9,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 7,300 = 7,300 : x
  2. Step 2: Convert to fraction form
    5,408/7,300 = 7,300/x
  3. Step 3: Cross multiply
    5,408x = 7,300 × 7,300
  4. Step 4: Simplify right side
    5,408x = 53,290,000
  5. Step 5: Solve for x
    x = 53,290,000/5,408
  6. Step 6: Final answer
    x = 9,853.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.