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Finding the Third Proportional to 30,747 and 47,013

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Solution

The third proportional to 30,747 and 47,013 is: 71,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747 : 47,013 = 47,013 : x
  2. Step 2: Convert to fraction form
    30,747/47,013 = 47,013/x
  3. Step 3: Cross multiply
    30,747x = 47,013 × 47,013
  4. Step 4: Simplify right side
    30,747x = 2,210,222,169
  5. Step 5: Solve for x
    x = 2,210,222,169/30,747
  6. Step 6: Final answer
    x = 71,884.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.