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Finding the Third Proportional to 29,901 and 46,911.75

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Solution

The third proportional to 29,901 and 46,911.75 is: 73,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,901 : 46,911.75 = 46,911.75 : x
  2. Step 2: Convert to fraction form
    29,901/46,911.75 = 46,911.75/x
  3. Step 3: Cross multiply
    29,901x = 46,911.75 × 46,911.75
  4. Step 4: Simplify right side
    29,901x = 2,200,712,288.06
  5. Step 5: Solve for x
    x = 2,200,712,288.06/29,901
  6. Step 6: Final answer
    x = 73,599.96

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Why These Related Problems?

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