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Finding the Third Proportional to 51,531.19 and 75,451.50

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Solution

The third proportional to 51,531.19 and 75,451.50 is: 110,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531.19 : 75,451.50 = 75,451.50 : x
  2. Step 2: Convert to fraction form
    51,531.19/75,451.50 = 75,451.50/x
  3. Step 3: Cross multiply
    51,531.19x = 75,451.50 × 75,451.50
  4. Step 4: Simplify right side
    51,531.19x = 5,692,928,852.25
  5. Step 5: Solve for x
    x = 5,692,928,852.25/51,531.19
  6. Step 6: Final answer
    x = 110,475.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.