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Finding the Third Proportional to 13,038.94 and 17,712.19

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Solution

The third proportional to 13,038.94 and 17,712.19 is: 24,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.94 : 17,712.19 = 17,712.19 : x
  2. Step 2: Convert to fraction form
    13,038.94/17,712.19 = 17,712.19/x
  3. Step 3: Cross multiply
    13,038.94x = 17,712.19 × 17,712.19
  4. Step 4: Simplify right side
    13,038.94x = 313,721,586.04
  5. Step 5: Solve for x
    x = 313,721,586.04/13,038.94
  6. Step 6: Final answer
    x = 24,060.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.