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Finding the Third Proportional to 32,350.50 and 51,646.50

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Solution

The third proportional to 32,350.50 and 51,646.50 is: 82,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350.50 : 51,646.50 = 51,646.50 : x
  2. Step 2: Convert to fraction form
    32,350.50/51,646.50 = 51,646.50/x
  3. Step 3: Cross multiply
    32,350.50x = 51,646.50 × 51,646.50
  4. Step 4: Simplify right side
    32,350.50x = 2,667,360,962.25
  5. Step 5: Solve for x
    x = 2,667,360,962.25/32,350.50
  6. Step 6: Final answer
    x = 82,451.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.