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Finding the Third Proportional to 36,784 and 78,752

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Solution

The third proportional to 36,784 and 78,752 is: 168,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 78,752 = 78,752 : x
  2. Step 2: Convert to fraction form
    36,784/78,752 = 78,752/x
  3. Step 3: Cross multiply
    36,784x = 78,752 × 78,752
  4. Step 4: Simplify right side
    36,784x = 6,201,877,504
  5. Step 5: Solve for x
    x = 6,201,877,504/36,784
  6. Step 6: Final answer
    x = 168,602.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.