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Finding the Third Proportional to 35,604.63 and 55,351

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Solution

The third proportional to 35,604.63 and 55,351 is: 86,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,604.63 : 55,351 = 55,351 : x
  2. Step 2: Convert to fraction form
    35,604.63/55,351 = 55,351/x
  3. Step 3: Cross multiply
    35,604.63x = 55,351 × 55,351
  4. Step 4: Simplify right side
    35,604.63x = 3,063,733,201
  5. Step 5: Solve for x
    x = 3,063,733,201/35,604.63
  6. Step 6: Final answer
    x = 86,048.74

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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.