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Finding the Third Proportional to 25,815.75 and 56,491.50

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Solution

The third proportional to 25,815.75 and 56,491.50 is: 123,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.75 : 56,491.50 = 56,491.50 : x
  2. Step 2: Convert to fraction form
    25,815.75/56,491.50 = 56,491.50/x
  3. Step 3: Cross multiply
    25,815.75x = 56,491.50 × 56,491.50
  4. Step 4: Simplify right side
    25,815.75x = 3,191,289,572.25
  5. Step 5: Solve for x
    x = 3,191,289,572.25/25,815.75
  6. Step 6: Final answer
    x = 123,617.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.