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Finding the Third Proportional to 35,771.63 and 56,634.19

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Solution

The third proportional to 35,771.63 and 56,634.19 is: 89,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.63 : 56,634.19 = 56,634.19 : x
  2. Step 2: Convert to fraction form
    35,771.63/56,634.19 = 56,634.19/x
  3. Step 3: Cross multiply
    35,771.63x = 56,634.19 × 56,634.19
  4. Step 4: Simplify right side
    35,771.63x = 3,207,431,193.79
  5. Step 5: Solve for x
    x = 3,207,431,193.79/35,771.63
  6. Step 6: Final answer
    x = 89,664.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.