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Finding the Third Proportional to 25,924.88 and 41,222.63

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Solution

The third proportional to 25,924.88 and 41,222.63 is: 65,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.88 : 41,222.63 = 41,222.63 : x
  2. Step 2: Convert to fraction form
    25,924.88/41,222.63 = 41,222.63/x
  3. Step 3: Cross multiply
    25,924.88x = 41,222.63 × 41,222.63
  4. Step 4: Simplify right side
    25,924.88x = 1,699,304,811.89
  5. Step 5: Solve for x
    x = 1,699,304,811.89/25,924.88
  6. Step 6: Final answer
    x = 65,547.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.