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Finding the Third Proportional to 10,962.50 and 24,111.88

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Solution

The third proportional to 10,962.50 and 24,111.88 is: 53,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.50 : 24,111.88 = 24,111.88 : x
  2. Step 2: Convert to fraction form
    10,962.50/24,111.88 = 24,111.88/x
  3. Step 3: Cross multiply
    10,962.50x = 24,111.88 × 24,111.88
  4. Step 4: Simplify right side
    10,962.50x = 581,382,516.02
  5. Step 5: Solve for x
    x = 581,382,516.02/10,962.50
  6. Step 6: Final answer
    x = 53,033.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.