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Finding the Third Proportional to 10,296.84 and 22,598.44

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Solution

The third proportional to 10,296.84 and 22,598.44 is: 49,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.84 : 22,598.44 = 22,598.44 : x
  2. Step 2: Convert to fraction form
    10,296.84/22,598.44 = 22,598.44/x
  3. Step 3: Cross multiply
    10,296.84x = 22,598.44 × 22,598.44
  4. Step 4: Simplify right side
    10,296.84x = 510,689,377.44
  5. Step 5: Solve for x
    x = 510,689,377.44/10,296.84
  6. Step 6: Final answer
    x = 49,596.69

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Why These Related Problems?

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