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Finding the Third Proportional to 30,732 and 46,380.66

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Solution

The third proportional to 30,732 and 46,380.66 is: 69,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 46,380.66 = 46,380.66 : x
  2. Step 2: Convert to fraction form
    30,732/46,380.66 = 46,380.66/x
  3. Step 3: Cross multiply
    30,732x = 46,380.66 × 46,380.66
  4. Step 4: Simplify right side
    30,732x = 2,151,165,274.18
  5. Step 5: Solve for x
    x = 2,151,165,274.18/30,732
  6. Step 6: Final answer
    x = 69,997.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.