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Finding the Third Proportional to 6,545 and 13,436.50

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Solution

The third proportional to 6,545 and 13,436.50 is: 27,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 13,436.50 = 13,436.50 : x
  2. Step 2: Convert to fraction form
    6,545/13,436.50 = 13,436.50/x
  3. Step 3: Cross multiply
    6,545x = 13,436.50 × 13,436.50
  4. Step 4: Simplify right side
    6,545x = 180,539,532.25
  5. Step 5: Solve for x
    x = 180,539,532.25/6,545
  6. Step 6: Final answer
    x = 27,584.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.