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Finding the Third Proportional to 7,822.50 and 16,455

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Solution

The third proportional to 7,822.50 and 16,455 is: 34,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.50 : 16,455 = 16,455 : x
  2. Step 2: Convert to fraction form
    7,822.50/16,455 = 16,455/x
  3. Step 3: Cross multiply
    7,822.50x = 16,455 × 16,455
  4. Step 4: Simplify right side
    7,822.50x = 270,767,025
  5. Step 5: Solve for x
    x = 270,767,025/7,822.50
  6. Step 6: Final answer
    x = 34,613.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.