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Finding the Third Proportional to 30,567 and 64,452

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Solution

The third proportional to 30,567 and 64,452 is: 135,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567 : 64,452 = 64,452 : x
  2. Step 2: Convert to fraction form
    30,567/64,452 = 64,452/x
  3. Step 3: Cross multiply
    30,567x = 64,452 × 64,452
  4. Step 4: Simplify right side
    30,567x = 4,154,060,304
  5. Step 5: Solve for x
    x = 4,154,060,304/30,567
  6. Step 6: Final answer
    x = 135,900.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.