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Finding the Third Proportional to 9,612.94 and 21,116.06

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Solution

The third proportional to 9,612.94 and 21,116.06 is: 46,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.94 : 21,116.06 = 21,116.06 : x
  2. Step 2: Convert to fraction form
    9,612.94/21,116.06 = 21,116.06/x
  3. Step 3: Cross multiply
    9,612.94x = 21,116.06 × 21,116.06
  4. Step 4: Simplify right side
    9,612.94x = 445,888,095.50
  5. Step 5: Solve for x
    x = 445,888,095.50/9,612.94
  6. Step 6: Final answer
    x = 46,384.17

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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.