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Finding the Third Proportional to 51,539 and 69,909.50

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Solution

The third proportional to 51,539 and 69,909.50 is: 94,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,539 : 69,909.50 = 69,909.50 : x
  2. Step 2: Convert to fraction form
    51,539/69,909.50 = 69,909.50/x
  3. Step 3: Cross multiply
    51,539x = 69,909.50 × 69,909.50
  4. Step 4: Simplify right side
    51,539x = 4,887,338,190.25
  5. Step 5: Solve for x
    x = 4,887,338,190.25/51,539
  6. Step 6: Final answer
    x = 94,827.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.