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Finding the Third Proportional to 36,596 and 78,740

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Solution

The third proportional to 36,596 and 78,740 is: 169,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596 : 78,740 = 78,740 : x
  2. Step 2: Convert to fraction form
    36,596/78,740 = 78,740/x
  3. Step 3: Cross multiply
    36,596x = 78,740 × 78,740
  4. Step 4: Simplify right side
    36,596x = 6,199,987,600
  5. Step 5: Solve for x
    x = 6,199,987,600/36,596
  6. Step 6: Final answer
    x = 169,417.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.