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Finding the Third Proportional to 30,998 and 67,525

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Solution

The third proportional to 30,998 and 67,525 is: 147,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 67,525 = 67,525 : x
  2. Step 2: Convert to fraction form
    30,998/67,525 = 67,525/x
  3. Step 3: Cross multiply
    30,998x = 67,525 × 67,525
  4. Step 4: Simplify right side
    30,998x = 4,559,625,625
  5. Step 5: Solve for x
    x = 4,559,625,625/30,998
  6. Step 6: Final answer
    x = 147,094.19

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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.