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Finding the Third Proportional to 13,534 and 21,232.50

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Solution

The third proportional to 13,534 and 21,232.50 is: 33,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534 : 21,232.50 = 21,232.50 : x
  2. Step 2: Convert to fraction form
    13,534/21,232.50 = 21,232.50/x
  3. Step 3: Cross multiply
    13,534x = 21,232.50 × 21,232.50
  4. Step 4: Simplify right side
    13,534x = 450,819,056.25
  5. Step 5: Solve for x
    x = 450,819,056.25/13,534
  6. Step 6: Final answer
    x = 33,310.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.