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Finding the Third Proportional to 36,416 and 55,596

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Solution

The third proportional to 36,416 and 55,596 is: 84,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 55,596 = 55,596 : x
  2. Step 2: Convert to fraction form
    36,416/55,596 = 55,596/x
  3. Step 3: Cross multiply
    36,416x = 55,596 × 55,596
  4. Step 4: Simplify right side
    36,416x = 3,090,915,216
  5. Step 5: Solve for x
    x = 3,090,915,216/36,416
  6. Step 6: Final answer
    x = 84,877.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.