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Finding the Third Proportional to 50,374.50 and 70,614

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Solution

The third proportional to 50,374.50 and 70,614 is: 98,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,374.50 : 70,614 = 70,614 : x
  2. Step 2: Convert to fraction form
    50,374.50/70,614 = 70,614/x
  3. Step 3: Cross multiply
    50,374.50x = 70,614 × 70,614
  4. Step 4: Simplify right side
    50,374.50x = 4,986,336,996
  5. Step 5: Solve for x
    x = 4,986,336,996/50,374.50
  6. Step 6: Final answer
    x = 98,985.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.