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Finding the Third Proportional to 25,051.50 and 58,252.50

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Solution

The third proportional to 25,051.50 and 58,252.50 is: 135,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.50 : 58,252.50 = 58,252.50 : x
  2. Step 2: Convert to fraction form
    25,051.50/58,252.50 = 58,252.50/x
  3. Step 3: Cross multiply
    25,051.50x = 58,252.50 × 58,252.50
  4. Step 4: Simplify right side
    25,051.50x = 3,393,353,756.25
  5. Step 5: Solve for x
    x = 3,393,353,756.25/25,051.50
  6. Step 6: Final answer
    x = 135,455.11

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.