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Finding the Third Proportional to 13,534.88 and 20,830.88

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Solution

The third proportional to 13,534.88 and 20,830.88 is: 32,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.88 : 20,830.88 = 20,830.88 : x
  2. Step 2: Convert to fraction form
    13,534.88/20,830.88 = 20,830.88/x
  3. Step 3: Cross multiply
    13,534.88x = 20,830.88 × 20,830.88
  4. Step 4: Simplify right side
    13,534.88x = 433,925,353.27
  5. Step 5: Solve for x
    x = 433,925,353.27/13,534.88
  6. Step 6: Final answer
    x = 32,059.80

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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.