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Finding the Third Proportional to 6,533.25 and 14,159.25

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Solution

The third proportional to 6,533.25 and 14,159.25 is: 30,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.25 : 14,159.25 = 14,159.25 : x
  2. Step 2: Convert to fraction form
    6,533.25/14,159.25 = 14,159.25/x
  3. Step 3: Cross multiply
    6,533.25x = 14,159.25 × 14,159.25
  4. Step 4: Simplify right side
    6,533.25x = 200,484,360.56
  5. Step 5: Solve for x
    x = 200,484,360.56/6,533.25
  6. Step 6: Final answer
    x = 30,686.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.