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Finding the Third Proportional to 47,712 and 70,108

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Solution

The third proportional to 47,712 and 70,108 is: 103,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 70,108 = 70,108 : x
  2. Step 2: Convert to fraction form
    47,712/70,108 = 70,108/x
  3. Step 3: Cross multiply
    47,712x = 70,108 × 70,108
  4. Step 4: Simplify right side
    47,712x = 4,915,131,664
  5. Step 5: Solve for x
    x = 4,915,131,664/47,712
  6. Step 6: Final answer
    x = 103,016.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.