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Finding the Third Proportional to 14,712 and 34,361.25

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Solution

The third proportional to 14,712 and 34,361.25 is: 80,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 34,361.25 = 34,361.25 : x
  2. Step 2: Convert to fraction form
    14,712/34,361.25 = 34,361.25/x
  3. Step 3: Cross multiply
    14,712x = 34,361.25 × 34,361.25
  4. Step 4: Simplify right side
    14,712x = 1,180,695,501.56
  5. Step 5: Solve for x
    x = 1,180,695,501.56/14,712
  6. Step 6: Final answer
    x = 80,253.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.