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Finding the Third Proportional to 29,712 and 43,680

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Solution

The third proportional to 29,712 and 43,680 is: 64,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 43,680 = 43,680 : x
  2. Step 2: Convert to fraction form
    29,712/43,680 = 43,680/x
  3. Step 3: Cross multiply
    29,712x = 43,680 × 43,680
  4. Step 4: Simplify right side
    29,712x = 1,907,942,400
  5. Step 5: Solve for x
    x = 1,907,942,400/29,712
  6. Step 6: Final answer
    x = 64,214.54

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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.