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Finding the Third Proportional to 20,352 and 30,582

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Solution

The third proportional to 20,352 and 30,582 is: 45,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352 : 30,582 = 30,582 : x
  2. Step 2: Convert to fraction form
    20,352/30,582 = 30,582/x
  3. Step 3: Cross multiply
    20,352x = 30,582 × 30,582
  4. Step 4: Simplify right side
    20,352x = 935,258,724
  5. Step 5: Solve for x
    x = 935,258,724/20,352
  6. Step 6: Final answer
    x = 45,954.14

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Why These Related Problems?

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