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Finding the Third Proportional to 20,280 and 30,124

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Solution

The third proportional to 20,280 and 30,124 is: 44,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280 : 30,124 = 30,124 : x
  2. Step 2: Convert to fraction form
    20,280/30,124 = 30,124/x
  3. Step 3: Cross multiply
    20,280x = 30,124 × 30,124
  4. Step 4: Simplify right side
    20,280x = 907,455,376
  5. Step 5: Solve for x
    x = 907,455,376/20,280
  6. Step 6: Final answer
    x = 44,746.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.