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Finding the Third Proportional to 37,557 and 52,504.50

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Solution

The third proportional to 37,557 and 52,504.50 is: 73,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,557 : 52,504.50 = 52,504.50 : x
  2. Step 2: Convert to fraction form
    37,557/52,504.50 = 52,504.50/x
  3. Step 3: Cross multiply
    37,557x = 52,504.50 × 52,504.50
  4. Step 4: Simplify right side
    37,557x = 2,756,722,520.25
  5. Step 5: Solve for x
    x = 2,756,722,520.25/37,557
  6. Step 6: Final answer
    x = 73,401.03

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Why These Related Problems?

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