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Finding the Third Proportional to 19,712 and 29,773.25

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Solution

The third proportional to 19,712 and 29,773.25 is: 44,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 29,773.25 = 29,773.25 : x
  2. Step 2: Convert to fraction form
    19,712/29,773.25 = 29,773.25/x
  3. Step 3: Cross multiply
    19,712x = 29,773.25 × 29,773.25
  4. Step 4: Simplify right side
    19,712x = 886,446,415.56
  5. Step 5: Solve for x
    x = 886,446,415.56/19,712
  6. Step 6: Final answer
    x = 44,969.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.