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Finding the Third Proportional to 47,616 and 70,860

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Solution

The third proportional to 47,616 and 70,860 is: 105,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616 : 70,860 = 70,860 : x
  2. Step 2: Convert to fraction form
    47,616/70,860 = 70,860/x
  3. Step 3: Cross multiply
    47,616x = 70,860 × 70,860
  4. Step 4: Simplify right side
    47,616x = 5,021,139,600
  5. Step 5: Solve for x
    x = 5,021,139,600/47,616
  6. Step 6: Final answer
    x = 105,450.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.