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Finding the Third Proportional to 12,223.69 and 25,365.38

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Solution

The third proportional to 12,223.69 and 25,365.38 is: 52,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.69 : 25,365.38 = 25,365.38 : x
  2. Step 2: Convert to fraction form
    12,223.69/25,365.38 = 25,365.38/x
  3. Step 3: Cross multiply
    12,223.69x = 25,365.38 × 25,365.38
  4. Step 4: Simplify right side
    12,223.69x = 643,402,248.89
  5. Step 5: Solve for x
    x = 643,402,248.89/12,223.69
  6. Step 6: Final answer
    x = 52,635.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.