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Finding the Third Proportional to 12,129.75 and 26,038.13

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Solution

The third proportional to 12,129.75 and 26,038.13 is: 55,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 26,038.13 = 26,038.13 : x
  2. Step 2: Convert to fraction form
    12,129.75/26,038.13 = 26,038.13/x
  3. Step 3: Cross multiply
    12,129.75x = 26,038.13 × 26,038.13
  4. Step 4: Simplify right side
    12,129.75x = 677,983,953.52
  5. Step 5: Solve for x
    x = 677,983,953.52/12,129.75
  6. Step 6: Final answer
    x = 55,894.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.