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Finding the Third Proportional to 4,382.06 and 9,492.94

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Solution

The third proportional to 4,382.06 and 9,492.94 is: 20,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.06 : 9,492.94 = 9,492.94 : x
  2. Step 2: Convert to fraction form
    4,382.06/9,492.94 = 9,492.94/x
  3. Step 3: Cross multiply
    4,382.06x = 9,492.94 × 9,492.94
  4. Step 4: Simplify right side
    4,382.06x = 90,115,862.38
  5. Step 5: Solve for x
    x = 90,115,862.38/4,382.06
  6. Step 6: Final answer
    x = 20,564.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.