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Finding the Third Proportional to 10,995.75 and 24,073.88

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Solution

The third proportional to 10,995.75 and 24,073.88 is: 52,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.75 : 24,073.88 = 24,073.88 : x
  2. Step 2: Convert to fraction form
    10,995.75/24,073.88 = 24,073.88/x
  3. Step 3: Cross multiply
    10,995.75x = 24,073.88 × 24,073.88
  4. Step 4: Simplify right side
    10,995.75x = 579,551,457.52
  5. Step 5: Solve for x
    x = 579,551,457.52/10,995.75
  6. Step 6: Final answer
    x = 52,706.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.