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Finding the Third Proportional to 36,700.59 and 42,168.09

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Solution

The third proportional to 36,700.59 and 42,168.09 is: 48,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.59 : 42,168.09 = 42,168.09 : x
  2. Step 2: Convert to fraction form
    36,700.59/42,168.09 = 42,168.09/x
  3. Step 3: Cross multiply
    36,700.59x = 42,168.09 × 42,168.09
  4. Step 4: Simplify right side
    36,700.59x = 1,778,148,130.51
  5. Step 5: Solve for x
    x = 1,778,148,130.51/36,700.59
  6. Step 6: Final answer
    x = 48,450.12

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.