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Finding the Third Proportional to 36,700.59 and 56,600.02

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Solution

The third proportional to 36,700.59 and 56,600.02 is: 87,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.59 : 56,600.02 = 56,600.02 : x
  2. Step 2: Convert to fraction form
    36,700.59/56,600.02 = 56,600.02/x
  3. Step 3: Cross multiply
    36,700.59x = 56,600.02 × 56,600.02
  4. Step 4: Simplify right side
    36,700.59x = 3,203,561,768.75
  5. Step 5: Solve for x
    x = 3,203,561,768.75/36,700.59
  6. Step 6: Final answer
    x = 87,289.10

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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.