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Finding the Third Proportional to 24,332.50 and 52,819

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Solution

The third proportional to 24,332.50 and 52,819 is: 114,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.50 : 52,819 = 52,819 : x
  2. Step 2: Convert to fraction form
    24,332.50/52,819 = 52,819/x
  3. Step 3: Cross multiply
    24,332.50x = 52,819 × 52,819
  4. Step 4: Simplify right side
    24,332.50x = 2,789,846,761
  5. Step 5: Solve for x
    x = 2,789,846,761/24,332.50
  6. Step 6: Final answer
    x = 114,655.16

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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.