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Finding the Third Proportional to 36,050.63 and 77,648.06

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Solution

The third proportional to 36,050.63 and 77,648.06 is: 167,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,050.63 : 77,648.06 = 77,648.06 : x
  2. Step 2: Convert to fraction form
    36,050.63/77,648.06 = 77,648.06/x
  3. Step 3: Cross multiply
    36,050.63x = 77,648.06 × 77,648.06
  4. Step 4: Simplify right side
    36,050.63x = 6,029,221,610.00
  5. Step 5: Solve for x
    x = 6,029,221,610.00/36,050.63
  6. Step 6: Final answer
    x = 167,243.19

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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.