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Finding the Third Proportional to 36,557.63 and 78,555.75

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Solution

The third proportional to 36,557.63 and 78,555.75 is: 168,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,557.63 : 78,555.75 = 78,555.75 : x
  2. Step 2: Convert to fraction form
    36,557.63/78,555.75 = 78,555.75/x
  3. Step 3: Cross multiply
    36,557.63x = 78,555.75 × 78,555.75
  4. Step 4: Simplify right side
    36,557.63x = 6,171,005,858.06
  5. Step 5: Solve for x
    x = 6,171,005,858.06/36,557.63
  6. Step 6: Final answer
    x = 168,802.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.