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Finding the Third Proportional to 30,162.75 and 39,664.13

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Solution

The third proportional to 30,162.75 and 39,664.13 is: 52,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.75 : 39,664.13 = 39,664.13 : x
  2. Step 2: Convert to fraction form
    30,162.75/39,664.13 = 39,664.13/x
  3. Step 3: Cross multiply
    30,162.75x = 39,664.13 × 39,664.13
  4. Step 4: Simplify right side
    30,162.75x = 1,573,242,812.02
  5. Step 5: Solve for x
    x = 1,573,242,812.02/30,162.75
  6. Step 6: Final answer
    x = 52,158.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.