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Finding the Third Proportional to 30,169 and 47,048

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Solution

The third proportional to 30,169 and 47,048 is: 73,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 47,048 = 47,048 : x
  2. Step 2: Convert to fraction form
    30,169/47,048 = 47,048/x
  3. Step 3: Cross multiply
    30,169x = 47,048 × 47,048
  4. Step 4: Simplify right side
    30,169x = 2,213,514,304
  5. Step 5: Solve for x
    x = 2,213,514,304/30,169
  6. Step 6: Final answer
    x = 73,370.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.