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Finding the Third Proportional to 30,746 and 47,001

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Solution

The third proportional to 30,746 and 47,001 is: 71,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746 : 47,001 = 47,001 : x
  2. Step 2: Convert to fraction form
    30,746/47,001 = 47,001/x
  3. Step 3: Cross multiply
    30,746x = 47,001 × 47,001
  4. Step 4: Simplify right side
    30,746x = 2,209,094,001
  5. Step 5: Solve for x
    x = 2,209,094,001/30,746
  6. Step 6: Final answer
    x = 71,849.80

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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.