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Finding the Third Proportional to 30,432 and 50,304

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Solution

The third proportional to 30,432 and 50,304 is: 83,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432 : 50,304 = 50,304 : x
  2. Step 2: Convert to fraction form
    30,432/50,304 = 50,304/x
  3. Step 3: Cross multiply
    30,432x = 50,304 × 50,304
  4. Step 4: Simplify right side
    30,432x = 2,530,492,416
  5. Step 5: Solve for x
    x = 2,530,492,416/30,432
  6. Step 6: Final answer
    x = 83,152.35

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.