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Finding the Third Proportional to 34,095.94 and 49,412.53

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Solution

The third proportional to 34,095.94 and 49,412.53 is: 71,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095.94 : 49,412.53 = 49,412.53 : x
  2. Step 2: Convert to fraction form
    34,095.94/49,412.53 = 49,412.53/x
  3. Step 3: Cross multiply
    34,095.94x = 49,412.53 × 49,412.53
  4. Step 4: Simplify right side
    34,095.94x = 2,441,598,244.53
  5. Step 5: Solve for x
    x = 2,441,598,244.53/34,095.94
  6. Step 6: Final answer
    x = 71,609.65

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.