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Finding the Third Proportional to 35,798.63 and 54,639.56

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Solution

The third proportional to 35,798.63 and 54,639.56 is: 83,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.63 : 54,639.56 = 54,639.56 : x
  2. Step 2: Convert to fraction form
    35,798.63/54,639.56 = 54,639.56/x
  3. Step 3: Cross multiply
    35,798.63x = 54,639.56 × 54,639.56
  4. Step 4: Simplify right side
    35,798.63x = 2,985,481,790.19
  5. Step 5: Solve for x
    x = 2,985,481,790.19/35,798.63
  6. Step 6: Final answer
    x = 83,396.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.