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Finding the Third Proportional to 6,322.50 and 13,281

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Solution

The third proportional to 6,322.50 and 13,281 is: 27,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.50 : 13,281 = 13,281 : x
  2. Step 2: Convert to fraction form
    6,322.50/13,281 = 13,281/x
  3. Step 3: Cross multiply
    6,322.50x = 13,281 × 13,281
  4. Step 4: Simplify right side
    6,322.50x = 176,384,961
  5. Step 5: Solve for x
    x = 176,384,961/6,322.50
  6. Step 6: Final answer
    x = 27,897.98

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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.