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Finding the Third Proportional to 20,388 and 28,710

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Solution

The third proportional to 20,388 and 28,710 is: 40,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388 : 28,710 = 28,710 : x
  2. Step 2: Convert to fraction form
    20,388/28,710 = 28,710/x
  3. Step 3: Cross multiply
    20,388x = 28,710 × 28,710
  4. Step 4: Simplify right side
    20,388x = 824,264,100
  5. Step 5: Solve for x
    x = 824,264,100/20,388
  6. Step 6: Final answer
    x = 40,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.