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Finding the Third Proportional to 34,851.75 and 51,062.25

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Solution

The third proportional to 34,851.75 and 51,062.25 is: 74,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851.75 : 51,062.25 = 51,062.25 : x
  2. Step 2: Convert to fraction form
    34,851.75/51,062.25 = 51,062.25/x
  3. Step 3: Cross multiply
    34,851.75x = 51,062.25 × 51,062.25
  4. Step 4: Simplify right side
    34,851.75x = 2,607,353,375.06
  5. Step 5: Solve for x
    x = 2,607,353,375.06/34,851.75
  6. Step 6: Final answer
    x = 74,812.70

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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.