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Finding the Third Proportional to 34,666.50 and 49,573.50

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Solution

The third proportional to 34,666.50 and 49,573.50 is: 70,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,666.50 : 49,573.50 = 49,573.50 : x
  2. Step 2: Convert to fraction form
    34,666.50/49,573.50 = 49,573.50/x
  3. Step 3: Cross multiply
    34,666.50x = 49,573.50 × 49,573.50
  4. Step 4: Simplify right side
    34,666.50x = 2,457,531,902.25
  5. Step 5: Solve for x
    x = 2,457,531,902.25/34,666.50
  6. Step 6: Final answer
    x = 70,890.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.