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Finding the Third Proportional to 12,534.75 and 26,708.25

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Solution

The third proportional to 12,534.75 and 26,708.25 is: 56,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 26,708.25 = 26,708.25 : x
  2. Step 2: Convert to fraction form
    12,534.75/26,708.25 = 26,708.25/x
  3. Step 3: Cross multiply
    12,534.75x = 26,708.25 × 26,708.25
  4. Step 4: Simplify right side
    12,534.75x = 713,330,618.06
  5. Step 5: Solve for x
    x = 713,330,618.06/12,534.75
  6. Step 6: Final answer
    x = 56,908.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.