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Finding the Third Proportional to 51,487 and 79,595

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Solution

The third proportional to 51,487 and 79,595 is: 123,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,487 : 79,595 = 79,595 : x
  2. Step 2: Convert to fraction form
    51,487/79,595 = 79,595/x
  3. Step 3: Cross multiply
    51,487x = 79,595 × 79,595
  4. Step 4: Simplify right side
    51,487x = 6,335,364,025
  5. Step 5: Solve for x
    x = 6,335,364,025/51,487
  6. Step 6: Final answer
    x = 123,047.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.