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Finding the Third Proportional to 30,160 and 39,894

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Solution

The third proportional to 30,160 and 39,894 is: 52,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160 : 39,894 = 39,894 : x
  2. Step 2: Convert to fraction form
    30,160/39,894 = 39,894/x
  3. Step 3: Cross multiply
    30,160x = 39,894 × 39,894
  4. Step 4: Simplify right side
    30,160x = 1,591,531,236
  5. Step 5: Solve for x
    x = 1,591,531,236/30,160
  6. Step 6: Final answer
    x = 52,769.60

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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.