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Finding the Third Proportional to 56,516 and 76,965.50

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Solution

The third proportional to 56,516 and 76,965.50 is: 104,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 76,965.50 = 76,965.50 : x
  2. Step 2: Convert to fraction form
    56,516/76,965.50 = 76,965.50/x
  3. Step 3: Cross multiply
    56,516x = 76,965.50 × 76,965.50
  4. Step 4: Simplify right side
    56,516x = 5,923,688,190.25
  5. Step 5: Solve for x
    x = 5,923,688,190.25/56,516
  6. Step 6: Final answer
    x = 104,814.36

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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.