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Finding the Third Proportional to 20,160 and 30,260

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Solution

The third proportional to 20,160 and 30,260 is: 45,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 30,260 = 30,260 : x
  2. Step 2: Convert to fraction form
    20,160/30,260 = 30,260/x
  3. Step 3: Cross multiply
    20,160x = 30,260 × 30,260
  4. Step 4: Simplify right side
    20,160x = 915,667,600
  5. Step 5: Solve for x
    x = 915,667,600/20,160
  6. Step 6: Final answer
    x = 45,420.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.