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Finding the Third Proportional to 20,012.50 and 46,325.50

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Solution

The third proportional to 20,012.50 and 46,325.50 is: 107,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.50 : 46,325.50 = 46,325.50 : x
  2. Step 2: Convert to fraction form
    20,012.50/46,325.50 = 46,325.50/x
  3. Step 3: Cross multiply
    20,012.50x = 46,325.50 × 46,325.50
  4. Step 4: Simplify right side
    20,012.50x = 2,146,051,950.25
  5. Step 5: Solve for x
    x = 2,146,051,950.25/20,012.50
  6. Step 6: Final answer
    x = 107,235.58

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.