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Finding the Third Proportional to 10,633.50 and 24,836.63

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Solution

The third proportional to 10,633.50 and 24,836.63 is: 58,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.50 : 24,836.63 = 24,836.63 : x
  2. Step 2: Convert to fraction form
    10,633.50/24,836.63 = 24,836.63/x
  3. Step 3: Cross multiply
    10,633.50x = 24,836.63 × 24,836.63
  4. Step 4: Simplify right side
    10,633.50x = 616,857,941.39
  5. Step 5: Solve for x
    x = 616,857,941.39/10,633.50
  6. Step 6: Final answer
    x = 58,010.81

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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.