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Finding the Third Proportional to 30,928 and 67,432

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Solution

The third proportional to 30,928 and 67,432 is: 147,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928 : 67,432 = 67,432 : x
  2. Step 2: Convert to fraction form
    30,928/67,432 = 67,432/x
  3. Step 3: Cross multiply
    30,928x = 67,432 × 67,432
  4. Step 4: Simplify right side
    30,928x = 4,547,074,624
  5. Step 5: Solve for x
    x = 4,547,074,624/30,928
  6. Step 6: Final answer
    x = 147,021.30

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