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Finding the Third Proportional to 34,519.50 and 50,646.38

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Solution

The third proportional to 34,519.50 and 50,646.38 is: 74,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,519.50 : 50,646.38 = 50,646.38 : x
  2. Step 2: Convert to fraction form
    34,519.50/50,646.38 = 50,646.38/x
  3. Step 3: Cross multiply
    34,519.50x = 50,646.38 × 50,646.38
  4. Step 4: Simplify right side
    34,519.50x = 2,565,055,300.64
  5. Step 5: Solve for x
    x = 2,565,055,300.64/34,519.50
  6. Step 6: Final answer
    x = 74,307.43

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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.