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Finding the Third Proportional to 23,024.25 and 32,582.25

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Solution

The third proportional to 23,024.25 and 32,582.25 is: 46,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.25 : 32,582.25 = 32,582.25 : x
  2. Step 2: Convert to fraction form
    23,024.25/32,582.25 = 32,582.25/x
  3. Step 3: Cross multiply
    23,024.25x = 32,582.25 × 32,582.25
  4. Step 4: Simplify right side
    23,024.25x = 1,061,603,015.06
  5. Step 5: Solve for x
    x = 1,061,603,015.06/23,024.25
  6. Step 6: Final answer
    x = 46,108.04

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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.