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Finding the Third Proportional to 14,033 and 20,532

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Solution

The third proportional to 14,033 and 20,532 is: 30,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033 : 20,532 = 20,532 : x
  2. Step 2: Convert to fraction form
    14,033/20,532 = 20,532/x
  3. Step 3: Cross multiply
    14,033x = 20,532 × 20,532
  4. Step 4: Simplify right side
    14,033x = 421,563,024
  5. Step 5: Solve for x
    x = 421,563,024/14,033
  6. Step 6: Final answer
    x = 30,040.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.