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Finding the Third Proportional to 29,500.03 and 46,735.31

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Solution

The third proportional to 29,500.03 and 46,735.31 is: 74,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.03 : 46,735.31 = 46,735.31 : x
  2. Step 2: Convert to fraction form
    29,500.03/46,735.31 = 46,735.31/x
  3. Step 3: Cross multiply
    29,500.03x = 46,735.31 × 46,735.31
  4. Step 4: Simplify right side
    29,500.03x = 2,184,189,434.47
  5. Step 5: Solve for x
    x = 2,184,189,434.47/29,500.03
  6. Step 6: Final answer
    x = 74,040.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.