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Finding the Third Proportional to 13,858.59 and 21,323.25

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Solution

The third proportional to 13,858.59 and 21,323.25 is: 32,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.59 : 21,323.25 = 21,323.25 : x
  2. Step 2: Convert to fraction form
    13,858.59/21,323.25 = 21,323.25/x
  3. Step 3: Cross multiply
    13,858.59x = 21,323.25 × 21,323.25
  4. Step 4: Simplify right side
    13,858.59x = 454,680,990.56
  5. Step 5: Solve for x
    x = 454,680,990.56/13,858.59
  6. Step 6: Final answer
    x = 32,808.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.