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Finding the Third Proportional to 37,560 and 57,751.50

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Solution

The third proportional to 37,560 and 57,751.50 is: 88,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 57,751.50 = 57,751.50 : x
  2. Step 2: Convert to fraction form
    37,560/57,751.50 = 57,751.50/x
  3. Step 3: Cross multiply
    37,560x = 57,751.50 × 57,751.50
  4. Step 4: Simplify right side
    37,560x = 3,335,235,752.25
  5. Step 5: Solve for x
    x = 3,335,235,752.25/37,560
  6. Step 6: Final answer
    x = 88,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.