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Finding the Third Proportional to 28,416 and 59,828

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Solution

The third proportional to 28,416 and 59,828 is: 125,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 59,828 = 59,828 : x
  2. Step 2: Convert to fraction form
    28,416/59,828 = 59,828/x
  3. Step 3: Cross multiply
    28,416x = 59,828 × 59,828
  4. Step 4: Simplify right side
    28,416x = 3,579,389,584
  5. Step 5: Solve for x
    x = 3,579,389,584/28,416
  6. Step 6: Final answer
    x = 125,963.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.