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Finding the Third Proportional to 24,619.50 and 53,695

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Solution

The third proportional to 24,619.50 and 53,695 is: 117,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619.50 : 53,695 = 53,695 : x
  2. Step 2: Convert to fraction form
    24,619.50/53,695 = 53,695/x
  3. Step 3: Cross multiply
    24,619.50x = 53,695 × 53,695
  4. Step 4: Simplify right side
    24,619.50x = 2,883,153,025
  5. Step 5: Solve for x
    x = 2,883,153,025/24,619.50
  6. Step 6: Final answer
    x = 117,108.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.