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Finding the Third Proportional to 36,770.63 and 56,543.63

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Solution

The third proportional to 36,770.63 and 56,543.63 is: 86,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770.63 : 56,543.63 = 56,543.63 : x
  2. Step 2: Convert to fraction form
    36,770.63/56,543.63 = 56,543.63/x
  3. Step 3: Cross multiply
    36,770.63x = 56,543.63 × 56,543.63
  4. Step 4: Simplify right side
    36,770.63x = 3,197,181,528.14
  5. Step 5: Solve for x
    x = 3,197,181,528.14/36,770.63
  6. Step 6: Final answer
    x = 86,949.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.