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Finding the Third Proportional to 36,625.50 and 53,642.25

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Solution

The third proportional to 36,625.50 and 53,642.25 is: 78,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,625.50 : 53,642.25 = 53,642.25 : x
  2. Step 2: Convert to fraction form
    36,625.50/53,642.25 = 53,642.25/x
  3. Step 3: Cross multiply
    36,625.50x = 53,642.25 × 53,642.25
  4. Step 4: Simplify right side
    36,625.50x = 2,877,490,985.06
  5. Step 5: Solve for x
    x = 2,877,490,985.06/36,625.50
  6. Step 6: Final answer
    x = 78,565.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.