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Finding the Third Proportional to 35,447.63 and 47,298.94

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Solution

The third proportional to 35,447.63 and 47,298.94 is: 63,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.63 : 47,298.94 = 47,298.94 : x
  2. Step 2: Convert to fraction form
    35,447.63/47,298.94 = 47,298.94/x
  3. Step 3: Cross multiply
    35,447.63x = 47,298.94 × 47,298.94
  4. Step 4: Simplify right side
    35,447.63x = 2,237,189,488.63
  5. Step 5: Solve for x
    x = 2,237,189,488.63/35,447.63
  6. Step 6: Final answer
    x = 63,112.54

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.