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Finding the Third Proportional to 28,376 and 41,779

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Solution

The third proportional to 28,376 and 41,779 is: 61,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,376 : 41,779 = 41,779 : x
  2. Step 2: Convert to fraction form
    28,376/41,779 = 41,779/x
  3. Step 3: Cross multiply
    28,376x = 41,779 × 41,779
  4. Step 4: Simplify right side
    28,376x = 1,745,484,841
  5. Step 5: Solve for x
    x = 1,745,484,841/28,376
  6. Step 6: Final answer
    x = 61,512.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.