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Finding the Third Proportional to 12,239.25 and 26,422.50

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Solution

The third proportional to 12,239.25 and 26,422.50 is: 57,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.25 : 26,422.50 = 26,422.50 : x
  2. Step 2: Convert to fraction form
    12,239.25/26,422.50 = 26,422.50/x
  3. Step 3: Cross multiply
    12,239.25x = 26,422.50 × 26,422.50
  4. Step 4: Simplify right side
    12,239.25x = 698,148,506.25
  5. Step 5: Solve for x
    x = 698,148,506.25/12,239.25
  6. Step 6: Final answer
    x = 57,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.