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Finding the Third Proportional to 37,260 and 57,560.63

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Solution

The third proportional to 37,260 and 57,560.63 is: 88,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,260 : 57,560.63 = 57,560.63 : x
  2. Step 2: Convert to fraction form
    37,260/57,560.63 = 57,560.63/x
  3. Step 3: Cross multiply
    37,260x = 57,560.63 × 57,560.63
  4. Step 4: Simplify right side
    37,260x = 3,313,225,550.39
  5. Step 5: Solve for x
    x = 3,313,225,550.39/37,260
  6. Step 6: Final answer
    x = 88,921.78

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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.