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Finding the Third Proportional to 4,705.04 and 10,185.35

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Solution

The third proportional to 4,705.04 and 10,185.35 is: 22,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.04 : 10,185.35 = 10,185.35 : x
  2. Step 2: Convert to fraction form
    4,705.04/10,185.35 = 10,185.35/x
  3. Step 3: Cross multiply
    4,705.04x = 10,185.35 × 10,185.35
  4. Step 4: Simplify right side
    4,705.04x = 103,741,446.13
  5. Step 5: Solve for x
    x = 103,741,446.13/4,705.04
  6. Step 6: Final answer
    x = 22,049.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.