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Finding the Third Proportional to 12,347.44 and 19,643.13

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Solution

The third proportional to 12,347.44 and 19,643.13 is: 31,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.44 : 19,643.13 = 19,643.13 : x
  2. Step 2: Convert to fraction form
    12,347.44/19,643.13 = 19,643.13/x
  3. Step 3: Cross multiply
    12,347.44x = 19,643.13 × 19,643.13
  4. Step 4: Simplify right side
    12,347.44x = 385,852,666.69
  5. Step 5: Solve for x
    x = 385,852,666.69/12,347.44
  6. Step 6: Final answer
    x = 31,249.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.