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Finding the Third Proportional to 25,051.50 and 58,254.75

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Solution

The third proportional to 25,051.50 and 58,254.75 is: 135,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.50 : 58,254.75 = 58,254.75 : x
  2. Step 2: Convert to fraction form
    25,051.50/58,254.75 = 58,254.75/x
  3. Step 3: Cross multiply
    25,051.50x = 58,254.75 × 58,254.75
  4. Step 4: Simplify right side
    25,051.50x = 3,393,615,897.56
  5. Step 5: Solve for x
    x = 3,393,615,897.56/25,051.50
  6. Step 6: Final answer
    x = 135,465.58

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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.