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Finding the Third Proportional to 25,378.50 and 58,491.75

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Solution

The third proportional to 25,378.50 and 58,491.75 is: 134,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 58,491.75 = 58,491.75 : x
  2. Step 2: Convert to fraction form
    25,378.50/58,491.75 = 58,491.75/x
  3. Step 3: Cross multiply
    25,378.50x = 58,491.75 × 58,491.75
  4. Step 4: Simplify right side
    25,378.50x = 3,421,284,818.06
  5. Step 5: Solve for x
    x = 3,421,284,818.06/25,378.50
  6. Step 6: Final answer
    x = 134,810.36

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.