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Finding the Third Proportional to 36,905.63 and 57,254.98

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Solution

The third proportional to 36,905.63 and 57,254.98 is: 88,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905.63 : 57,254.98 = 57,254.98 : x
  2. Step 2: Convert to fraction form
    36,905.63/57,254.98 = 57,254.98/x
  3. Step 3: Cross multiply
    36,905.63x = 57,254.98 × 57,254.98
  4. Step 4: Simplify right side
    36,905.63x = 3,278,132,341.17
  5. Step 5: Solve for x
    x = 3,278,132,341.17/36,905.63
  6. Step 6: Final answer
    x = 88,824.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.