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Finding the Third Proportional to 47,006 and 70,515

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Solution

The third proportional to 47,006 and 70,515 is: 105,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 70,515 = 70,515 : x
  2. Step 2: Convert to fraction form
    47,006/70,515 = 70,515/x
  3. Step 3: Cross multiply
    47,006x = 70,515 × 70,515
  4. Step 4: Simplify right side
    47,006x = 4,972,365,225
  5. Step 5: Solve for x
    x = 4,972,365,225/47,006
  6. Step 6: Final answer
    x = 105,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.