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Finding the Third Proportional to 24,457.50 and 53,073

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Solution

The third proportional to 24,457.50 and 53,073 is: 115,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.50 : 53,073 = 53,073 : x
  2. Step 2: Convert to fraction form
    24,457.50/53,073 = 53,073/x
  3. Step 3: Cross multiply
    24,457.50x = 53,073 × 53,073
  4. Step 4: Simplify right side
    24,457.50x = 2,816,743,329
  5. Step 5: Solve for x
    x = 2,816,743,329/24,457.50
  6. Step 6: Final answer
    x = 115,168.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.