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Finding the Third Proportional to 12,415.78 and 19,636.17

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Solution

The third proportional to 12,415.78 and 19,636.17 is: 31,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 19,636.17 = 19,636.17 : x
  2. Step 2: Convert to fraction form
    12,415.78/19,636.17 = 19,636.17/x
  3. Step 3: Cross multiply
    12,415.78x = 19,636.17 × 19,636.17
  4. Step 4: Simplify right side
    12,415.78x = 385,579,245.90
  5. Step 5: Solve for x
    x = 385,579,245.90/12,415.78
  6. Step 6: Final answer
    x = 31,055.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.