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Finding the Third Proportional to 6,705 and 14,299.50

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Solution

The third proportional to 6,705 and 14,299.50 is: 30,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 14,299.50 = 14,299.50 : x
  2. Step 2: Convert to fraction form
    6,705/14,299.50 = 14,299.50/x
  3. Step 3: Cross multiply
    6,705x = 14,299.50 × 14,299.50
  4. Step 4: Simplify right side
    6,705x = 204,475,700.25
  5. Step 5: Solve for x
    x = 204,475,700.25/6,705
  6. Step 6: Final answer
    x = 30,496.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.