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Finding the Third Proportional to 6,495.75 and 13,455

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Solution

The third proportional to 6,495.75 and 13,455 is: 27,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.75 : 13,455 = 13,455 : x
  2. Step 2: Convert to fraction form
    6,495.75/13,455 = 13,455/x
  3. Step 3: Cross multiply
    6,495.75x = 13,455 × 13,455
  4. Step 4: Simplify right side
    6,495.75x = 181,037,025
  5. Step 5: Solve for x
    x = 181,037,025/6,495.75
  6. Step 6: Final answer
    x = 27,870.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.