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Finding the Third Proportional to 20,280 and 43,584

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Solution

The third proportional to 20,280 and 43,584 is: 93,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280 : 43,584 = 43,584 : x
  2. Step 2: Convert to fraction form
    20,280/43,584 = 43,584/x
  3. Step 3: Cross multiply
    20,280x = 43,584 × 43,584
  4. Step 4: Simplify right side
    20,280x = 1,899,565,056
  5. Step 5: Solve for x
    x = 1,899,565,056/20,280
  6. Step 6: Final answer
    x = 93,666.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.