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Finding the Third Proportional to 36,100 and 56,643

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Solution

The third proportional to 36,100 and 56,643 is: 88,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100 : 56,643 = 56,643 : x
  2. Step 2: Convert to fraction form
    36,100/56,643 = 56,643/x
  3. Step 3: Cross multiply
    36,100x = 56,643 × 56,643
  4. Step 4: Simplify right side
    36,100x = 3,208,429,449
  5. Step 5: Solve for x
    x = 3,208,429,449/36,100
  6. Step 6: Final answer
    x = 88,876.16

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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.