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Finding the Third Proportional to 37,961.16 and 56,634.19

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Solution

The third proportional to 37,961.16 and 56,634.19 is: 84,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,961.16 : 56,634.19 = 56,634.19 : x
  2. Step 2: Convert to fraction form
    37,961.16/56,634.19 = 56,634.19/x
  3. Step 3: Cross multiply
    37,961.16x = 56,634.19 × 56,634.19
  4. Step 4: Simplify right side
    37,961.16x = 3,207,431,193.79
  5. Step 5: Solve for x
    x = 3,207,431,193.79/37,961.16
  6. Step 6: Final answer
    x = 84,492.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.