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Finding the Third Proportional to 23,130.56 and 32,751.84

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Solution

The third proportional to 23,130.56 and 32,751.84 is: 46,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.56 : 32,751.84 = 32,751.84 : x
  2. Step 2: Convert to fraction form
    23,130.56/32,751.84 = 32,751.84/x
  3. Step 3: Cross multiply
    23,130.56x = 32,751.84 × 32,751.84
  4. Step 4: Simplify right side
    23,130.56x = 1,072,683,269.02
  5. Step 5: Solve for x
    x = 1,072,683,269.02/23,130.56
  6. Step 6: Final answer
    x = 46,375.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.