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Finding the Third Proportional to 10,633.50 and 24,836.50

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Solution

The third proportional to 10,633.50 and 24,836.50 is: 58,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.50 : 24,836.50 = 24,836.50 : x
  2. Step 2: Convert to fraction form
    10,633.50/24,836.50 = 24,836.50/x
  3. Step 3: Cross multiply
    10,633.50x = 24,836.50 × 24,836.50
  4. Step 4: Simplify right side
    10,633.50x = 616,851,732.25
  5. Step 5: Solve for x
    x = 616,851,732.25/10,633.50
  6. Step 6: Final answer
    x = 58,010.23

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.