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Finding the Third Proportional to 28,468 and 42,571

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Solution

The third proportional to 28,468 and 42,571 is: 63,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,468 : 42,571 = 42,571 : x
  2. Step 2: Convert to fraction form
    28,468/42,571 = 42,571/x
  3. Step 3: Cross multiply
    28,468x = 42,571 × 42,571
  4. Step 4: Simplify right side
    28,468x = 1,812,290,041
  5. Step 5: Solve for x
    x = 1,812,290,041/28,468
  6. Step 6: Final answer
    x = 63,660.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.