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Finding the Third Proportional to 25,681.50 and 56,034.75

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Solution

The third proportional to 25,681.50 and 56,034.75 is: 122,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681.50 : 56,034.75 = 56,034.75 : x
  2. Step 2: Convert to fraction form
    25,681.50/56,034.75 = 56,034.75/x
  3. Step 3: Cross multiply
    25,681.50x = 56,034.75 × 56,034.75
  4. Step 4: Simplify right side
    25,681.50x = 3,139,893,207.56
  5. Step 5: Solve for x
    x = 3,139,893,207.56/25,681.50
  6. Step 6: Final answer
    x = 122,262.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.