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Finding the Third Proportional to 28,536 and 64,956

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Solution

The third proportional to 28,536 and 64,956 is: 147,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,536 : 64,956 = 64,956 : x
  2. Step 2: Convert to fraction form
    28,536/64,956 = 64,956/x
  3. Step 3: Cross multiply
    28,536x = 64,956 × 64,956
  4. Step 4: Simplify right side
    28,536x = 4,219,281,936
  5. Step 5: Solve for x
    x = 4,219,281,936/28,536
  6. Step 6: Final answer
    x = 147,858.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.