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Finding the Third Proportional to 34,476 and 50,700

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Solution

The third proportional to 34,476 and 50,700 is: 74,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 50,700 = 50,700 : x
  2. Step 2: Convert to fraction form
    34,476/50,700 = 50,700/x
  3. Step 3: Cross multiply
    34,476x = 50,700 × 50,700
  4. Step 4: Simplify right side
    34,476x = 2,570,490,000
  5. Step 5: Solve for x
    x = 2,570,490,000/34,476
  6. Step 6: Final answer
    x = 74,558.82

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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.