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Finding the Third Proportional to 5,271 and 7,153.50

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Solution

The third proportional to 5,271 and 7,153.50 is: 9,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271 : 7,153.50 = 7,153.50 : x
  2. Step 2: Convert to fraction form
    5,271/7,153.50 = 7,153.50/x
  3. Step 3: Cross multiply
    5,271x = 7,153.50 × 7,153.50
  4. Step 4: Simplify right side
    5,271x = 51,172,562.25
  5. Step 5: Solve for x
    x = 51,172,562.25/5,271
  6. Step 6: Final answer
    x = 9,708.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.