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Finding the Third Proportional to 28,476 and 41,978

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Solution

The third proportional to 28,476 and 41,978 is: 61,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476 : 41,978 = 41,978 : x
  2. Step 2: Convert to fraction form
    28,476/41,978 = 41,978/x
  3. Step 3: Cross multiply
    28,476x = 41,978 × 41,978
  4. Step 4: Simplify right side
    28,476x = 1,762,152,484
  5. Step 5: Solve for x
    x = 1,762,152,484/28,476
  6. Step 6: Final answer
    x = 61,882.02

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