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Finding the Third Proportional to 12,637.13 and 19,342.13

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Solution

The third proportional to 12,637.13 and 19,342.13 is: 29,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.13 : 19,342.13 = 19,342.13 : x
  2. Step 2: Convert to fraction form
    12,637.13/19,342.13 = 19,342.13/x
  3. Step 3: Cross multiply
    12,637.13x = 19,342.13 × 19,342.13
  4. Step 4: Simplify right side
    12,637.13x = 374,117,799.52
  5. Step 5: Solve for x
    x = 374,117,799.52/12,637.13
  6. Step 6: Final answer
    x = 29,604.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.