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Finding the Third Proportional to 50,897.25 and 74,826

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Solution

The third proportional to 50,897.25 and 74,826 is: 110,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,897.25 : 74,826 = 74,826 : x
  2. Step 2: Convert to fraction form
    50,897.25/74,826 = 74,826/x
  3. Step 3: Cross multiply
    50,897.25x = 74,826 × 74,826
  4. Step 4: Simplify right side
    50,897.25x = 5,598,930,276
  5. Step 5: Solve for x
    x = 5,598,930,276/50,897.25
  6. Step 6: Final answer
    x = 110,004.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.