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Finding the Third Proportional to 28,828 and 63,124

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Solution

The third proportional to 28,828 and 63,124 is: 138,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,828 : 63,124 = 63,124 : x
  2. Step 2: Convert to fraction form
    28,828/63,124 = 63,124/x
  3. Step 3: Cross multiply
    28,828x = 63,124 × 63,124
  4. Step 4: Simplify right side
    28,828x = 3,984,639,376
  5. Step 5: Solve for x
    x = 3,984,639,376/28,828
  6. Step 6: Final answer
    x = 138,221.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.