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Finding the Third Proportional to 24,598.69 and 31,200.19

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Solution

The third proportional to 24,598.69 and 31,200.19 is: 39,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.69 : 31,200.19 = 31,200.19 : x
  2. Step 2: Convert to fraction form
    24,598.69/31,200.19 = 31,200.19/x
  3. Step 3: Cross multiply
    24,598.69x = 31,200.19 × 31,200.19
  4. Step 4: Simplify right side
    24,598.69x = 973,451,700.04
  5. Step 5: Solve for x
    x = 973,451,700.04/24,598.69
  6. Step 6: Final answer
    x = 39,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.