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Finding the Third Proportional to 12,210.75 and 25,920.25

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Solution

The third proportional to 12,210.75 and 25,920.25 is: 55,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.75 : 25,920.25 = 25,920.25 : x
  2. Step 2: Convert to fraction form
    12,210.75/25,920.25 = 25,920.25/x
  3. Step 3: Cross multiply
    12,210.75x = 25,920.25 × 25,920.25
  4. Step 4: Simplify right side
    12,210.75x = 671,859,360.06
  5. Step 5: Solve for x
    x = 671,859,360.06/12,210.75
  6. Step 6: Final answer
    x = 55,021.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.