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Finding the Third Proportional to 28,416 and 59,827

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Solution

The third proportional to 28,416 and 59,827 is: 125,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 59,827 = 59,827 : x
  2. Step 2: Convert to fraction form
    28,416/59,827 = 59,827/x
  3. Step 3: Cross multiply
    28,416x = 59,827 × 59,827
  4. Step 4: Simplify right side
    28,416x = 3,579,269,929
  5. Step 5: Solve for x
    x = 3,579,269,929/28,416
  6. Step 6: Final answer
    x = 125,959.67

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Why These Related Problems?

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