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Finding the Third Proportional to 32,877 and 46,520.25

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Solution

The third proportional to 32,877 and 46,520.25 is: 65,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 46,520.25 = 46,520.25 : x
  2. Step 2: Convert to fraction form
    32,877/46,520.25 = 46,520.25/x
  3. Step 3: Cross multiply
    32,877x = 46,520.25 × 46,520.25
  4. Step 4: Simplify right side
    32,877x = 2,164,133,660.06
  5. Step 5: Solve for x
    x = 2,164,133,660.06/32,877
  6. Step 6: Final answer
    x = 65,825.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.