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Finding the Third Proportional to 20,854 and 30,729

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Solution

The third proportional to 20,854 and 30,729 is: 45,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854 : 30,729 = 30,729 : x
  2. Step 2: Convert to fraction form
    20,854/30,729 = 30,729/x
  3. Step 3: Cross multiply
    20,854x = 30,729 × 30,729
  4. Step 4: Simplify right side
    20,854x = 944,271,441
  5. Step 5: Solve for x
    x = 944,271,441/20,854
  6. Step 6: Final answer
    x = 45,280.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.