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Finding the Third Proportional to 30,609.77 and 47,299.89

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Solution

The third proportional to 30,609.77 and 47,299.89 is: 73,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.77 : 47,299.89 = 47,299.89 : x
  2. Step 2: Convert to fraction form
    30,609.77/47,299.89 = 47,299.89/x
  3. Step 3: Cross multiply
    30,609.77x = 47,299.89 × 47,299.89
  4. Step 4: Simplify right side
    30,609.77x = 2,237,279,283.61
  5. Step 5: Solve for x
    x = 2,237,279,283.61/30,609.77
  6. Step 6: Final answer
    x = 73,090.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.