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Finding the Third Proportional to 50,315.50 and 74,015

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Solution

The third proportional to 50,315.50 and 74,015 is: 108,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.50 : 74,015 = 74,015 : x
  2. Step 2: Convert to fraction form
    50,315.50/74,015 = 74,015/x
  3. Step 3: Cross multiply
    50,315.50x = 74,015 × 74,015
  4. Step 4: Simplify right side
    50,315.50x = 5,478,220,225
  5. Step 5: Solve for x
    x = 5,478,220,225/50,315.50
  6. Step 6: Final answer
    x = 108,877.39

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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.