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Finding the Third Proportional to 30,884 and 66,532

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Solution

The third proportional to 30,884 and 66,532 is: 143,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884 : 66,532 = 66,532 : x
  2. Step 2: Convert to fraction form
    30,884/66,532 = 66,532/x
  3. Step 3: Cross multiply
    30,884x = 66,532 × 66,532
  4. Step 4: Simplify right side
    30,884x = 4,426,507,024
  5. Step 5: Solve for x
    x = 4,426,507,024/30,884
  6. Step 6: Final answer
    x = 143,326.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.