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Finding the Third Proportional to 30,012 and 47,460

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Solution

The third proportional to 30,012 and 47,460 is: 75,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012 : 47,460 = 47,460 : x
  2. Step 2: Convert to fraction form
    30,012/47,460 = 47,460/x
  3. Step 3: Cross multiply
    30,012x = 47,460 × 47,460
  4. Step 4: Simplify right side
    30,012x = 2,252,451,600
  5. Step 5: Solve for x
    x = 2,252,451,600/30,012
  6. Step 6: Final answer
    x = 75,051.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.