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Finding the Third Proportional to 50,424.50 and 66,888.50

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Solution

The third proportional to 50,424.50 and 66,888.50 is: 88,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,424.50 : 66,888.50 = 66,888.50 : x
  2. Step 2: Convert to fraction form
    50,424.50/66,888.50 = 66,888.50/x
  3. Step 3: Cross multiply
    50,424.50x = 66,888.50 × 66,888.50
  4. Step 4: Simplify right side
    50,424.50x = 4,474,071,432.25
  5. Step 5: Solve for x
    x = 4,474,071,432.25/50,424.50
  6. Step 6: Final answer
    x = 88,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.