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Finding the Third Proportional to 29,896.88 and 46,903.69

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Solution

The third proportional to 29,896.88 and 46,903.69 is: 73,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.88 : 46,903.69 = 46,903.69 : x
  2. Step 2: Convert to fraction form
    29,896.88/46,903.69 = 46,903.69/x
  3. Step 3: Cross multiply
    29,896.88x = 46,903.69 × 46,903.69
  4. Step 4: Simplify right side
    29,896.88x = 2,199,955,901.10
  5. Step 5: Solve for x
    x = 2,199,955,901.10/29,896.88
  6. Step 6: Final answer
    x = 73,584.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.