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Finding the Third Proportional to 36,102 and 56,646

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Solution

The third proportional to 36,102 and 56,646 is: 88,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 56,646 = 56,646 : x
  2. Step 2: Convert to fraction form
    36,102/56,646 = 56,646/x
  3. Step 3: Cross multiply
    36,102x = 56,646 × 56,646
  4. Step 4: Simplify right side
    36,102x = 3,208,769,316
  5. Step 5: Solve for x
    x = 3,208,769,316/36,102
  6. Step 6: Final answer
    x = 88,880.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.