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Finding the Third Proportional to 12,636 and 19,822.22

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Solution

The third proportional to 12,636 and 19,822.22 is: 31,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 19,822.22 = 19,822.22 : x
  2. Step 2: Convert to fraction form
    12,636/19,822.22 = 19,822.22/x
  3. Step 3: Cross multiply
    12,636x = 19,822.22 × 19,822.22
  4. Step 4: Simplify right side
    12,636x = 392,920,356.17
  5. Step 5: Solve for x
    x = 392,920,356.17/12,636
  6. Step 6: Final answer
    x = 31,095.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.