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Finding the Third Proportional to 36,412.03 and 77,886.56

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Solution

The third proportional to 36,412.03 and 77,886.56 is: 166,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,412.03 : 77,886.56 = 77,886.56 : x
  2. Step 2: Convert to fraction form
    36,412.03/77,886.56 = 77,886.56/x
  3. Step 3: Cross multiply
    36,412.03x = 77,886.56 × 77,886.56
  4. Step 4: Simplify right side
    36,412.03x = 6,066,316,618.07
  5. Step 5: Solve for x
    x = 6,066,316,618.07/36,412.03
  6. Step 6: Final answer
    x = 166,601.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.