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Finding the Third Proportional to 12,235.88 and 26,719.13

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Solution

The third proportional to 12,235.88 and 26,719.13 is: 58,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.88 : 26,719.13 = 26,719.13 : x
  2. Step 2: Convert to fraction form
    12,235.88/26,719.13 = 26,719.13/x
  3. Step 3: Cross multiply
    12,235.88x = 26,719.13 × 26,719.13
  4. Step 4: Simplify right side
    12,235.88x = 713,911,640.77
  5. Step 5: Solve for x
    x = 713,911,640.77/12,235.88
  6. Step 6: Final answer
    x = 58,345.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.