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Finding the Third Proportional to 40,826.25 and 63,084.38

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Solution

The third proportional to 40,826.25 and 63,084.38 is: 97,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826.25 : 63,084.38 = 63,084.38 : x
  2. Step 2: Convert to fraction form
    40,826.25/63,084.38 = 63,084.38/x
  3. Step 3: Cross multiply
    40,826.25x = 63,084.38 × 63,084.38
  4. Step 4: Simplify right side
    40,826.25x = 3,979,638,369.14
  5. Step 5: Solve for x
    x = 3,979,638,369.14/40,826.25
  6. Step 6: Final answer
    x = 97,477.44

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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.