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Finding the Third Proportional to 11,512.13 and 20,746.13

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Solution

The third proportional to 11,512.13 and 20,746.13 is: 37,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 20,746.13 = 20,746.13 : x
  2. Step 2: Convert to fraction form
    11,512.13/20,746.13 = 20,746.13/x
  3. Step 3: Cross multiply
    11,512.13x = 20,746.13 × 20,746.13
  4. Step 4: Simplify right side
    11,512.13x = 430,401,702.52
  5. Step 5: Solve for x
    x = 430,401,702.52/11,512.13
  6. Step 6: Final answer
    x = 37,386.82

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.