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Finding the Third Proportional to 6,705 and 14,730.75

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Solution

The third proportional to 6,705 and 14,730.75 is: 32,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 14,730.75 = 14,730.75 : x
  2. Step 2: Convert to fraction form
    6,705/14,730.75 = 14,730.75/x
  3. Step 3: Cross multiply
    6,705x = 14,730.75 × 14,730.75
  4. Step 4: Simplify right side
    6,705x = 216,994,995.56
  5. Step 5: Solve for x
    x = 216,994,995.56/6,705
  6. Step 6: Final answer
    x = 32,363.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.