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Finding the Third Proportional to 47,712 and 70,110

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Solution

The third proportional to 47,712 and 70,110 is: 103,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 70,110 = 70,110 : x
  2. Step 2: Convert to fraction form
    47,712/70,110 = 70,110/x
  3. Step 3: Cross multiply
    47,712x = 70,110 × 70,110
  4. Step 4: Simplify right side
    47,712x = 4,915,412,100
  5. Step 5: Solve for x
    x = 4,915,412,100/47,712
  6. Step 6: Final answer
    x = 103,022.55

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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.