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Finding the Third Proportional to 29,805.47 and 44,195.63

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Solution

The third proportional to 29,805.47 and 44,195.63 is: 65,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,805.47 : 44,195.63 = 44,195.63 : x
  2. Step 2: Convert to fraction form
    29,805.47/44,195.63 = 44,195.63/x
  3. Step 3: Cross multiply
    29,805.47x = 44,195.63 × 44,195.63
  4. Step 4: Simplify right side
    29,805.47x = 1,953,253,269.14
  5. Step 5: Solve for x
    x = 1,953,253,269.14/29,805.47
  6. Step 6: Final answer
    x = 65,533.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.