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Finding the Third Proportional to 25,570.69 and 52,381.69

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Solution

The third proportional to 25,570.69 and 52,381.69 is: 107,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.69 : 52,381.69 = 52,381.69 : x
  2. Step 2: Convert to fraction form
    25,570.69/52,381.69 = 52,381.69/x
  3. Step 3: Cross multiply
    25,570.69x = 52,381.69 × 52,381.69
  4. Step 4: Simplify right side
    25,570.69x = 2,743,841,185.35
  5. Step 5: Solve for x
    x = 2,743,841,185.35/25,570.69
  6. Step 6: Final answer
    x = 107,304.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.