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Finding the Third Proportional to 30,468 and 66,525

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Solution

The third proportional to 30,468 and 66,525 is: 145,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468 : 66,525 = 66,525 : x
  2. Step 2: Convert to fraction form
    30,468/66,525 = 66,525/x
  3. Step 3: Cross multiply
    30,468x = 66,525 × 66,525
  4. Step 4: Simplify right side
    30,468x = 4,425,575,625
  5. Step 5: Solve for x
    x = 4,425,575,625/30,468
  6. Step 6: Final answer
    x = 145,253.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.