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Finding the Third Proportional to 13,920 and 21,587.25

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Solution

The third proportional to 13,920 and 21,587.25 is: 33,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 21,587.25 = 21,587.25 : x
  2. Step 2: Convert to fraction form
    13,920/21,587.25 = 21,587.25/x
  3. Step 3: Cross multiply
    13,920x = 21,587.25 × 21,587.25
  4. Step 4: Simplify right side
    13,920x = 466,009,362.56
  5. Step 5: Solve for x
    x = 466,009,362.56/13,920
  6. Step 6: Final answer
    x = 33,477.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.