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Finding the Third Proportional to 30,645 and 47,061

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Solution

The third proportional to 30,645 and 47,061 is: 72,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 47,061 = 47,061 : x
  2. Step 2: Convert to fraction form
    30,645/47,061 = 47,061/x
  3. Step 3: Cross multiply
    30,645x = 47,061 × 47,061
  4. Step 4: Simplify right side
    30,645x = 2,214,737,721
  5. Step 5: Solve for x
    x = 2,214,737,721/30,645
  6. Step 6: Final answer
    x = 72,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.