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Finding the Third Proportional to 28,478 and 66,536

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Solution

The third proportional to 28,478 and 66,536 is: 155,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,478 : 66,536 = 66,536 : x
  2. Step 2: Convert to fraction form
    28,478/66,536 = 66,536/x
  3. Step 3: Cross multiply
    28,478x = 66,536 × 66,536
  4. Step 4: Simplify right side
    28,478x = 4,427,039,296
  5. Step 5: Solve for x
    x = 4,427,039,296/28,478
  6. Step 6: Final answer
    x = 155,454.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.