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Finding the Third Proportional to 30,144 and 66,432

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Solution

The third proportional to 30,144 and 66,432 is: 146,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 66,432 = 66,432 : x
  2. Step 2: Convert to fraction form
    30,144/66,432 = 66,432/x
  3. Step 3: Cross multiply
    30,144x = 66,432 × 66,432
  4. Step 4: Simplify right side
    30,144x = 4,413,210,624
  5. Step 5: Solve for x
    x = 4,413,210,624/30,144
  6. Step 6: Final answer
    x = 146,404.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.