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Finding the Third Proportional to 32,901 and 46,890.75

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Solution

The third proportional to 32,901 and 46,890.75 is: 66,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901 : 46,890.75 = 46,890.75 : x
  2. Step 2: Convert to fraction form
    32,901/46,890.75 = 46,890.75/x
  3. Step 3: Cross multiply
    32,901x = 46,890.75 × 46,890.75
  4. Step 4: Simplify right side
    32,901x = 2,198,742,435.56
  5. Step 5: Solve for x
    x = 2,198,742,435.56/32,901
  6. Step 6: Final answer
    x = 66,829.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.