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Finding the Third Proportional to 36,657.56 and 51,159.09

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Solution

The third proportional to 36,657.56 and 51,159.09 is: 71,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,657.56 : 51,159.09 = 51,159.09 : x
  2. Step 2: Convert to fraction form
    36,657.56/51,159.09 = 51,159.09/x
  3. Step 3: Cross multiply
    36,657.56x = 51,159.09 × 51,159.09
  4. Step 4: Simplify right side
    36,657.56x = 2,617,252,873.32
  5. Step 5: Solve for x
    x = 2,617,252,873.32/36,657.56
  6. Step 6: Final answer
    x = 71,397.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.