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Finding the Third Proportional to 11,646.94 and 18,068.06

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Solution

The third proportional to 11,646.94 and 18,068.06 is: 28,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.94 : 18,068.06 = 18,068.06 : x
  2. Step 2: Convert to fraction form
    11,646.94/18,068.06 = 18,068.06/x
  3. Step 3: Cross multiply
    11,646.94x = 18,068.06 × 18,068.06
  4. Step 4: Simplify right side
    11,646.94x = 326,454,882.50
  5. Step 5: Solve for x
    x = 326,454,882.50/11,646.94
  6. Step 6: Final answer
    x = 28,029.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.