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Finding the Third Proportional to 11,683.50 and 24,897

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Solution

The third proportional to 11,683.50 and 24,897 is: 53,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.50 : 24,897 = 24,897 : x
  2. Step 2: Convert to fraction form
    11,683.50/24,897 = 24,897/x
  3. Step 3: Cross multiply
    11,683.50x = 24,897 × 24,897
  4. Step 4: Simplify right side
    11,683.50x = 619,860,609
  5. Step 5: Solve for x
    x = 619,860,609/11,683.50
  6. Step 6: Final answer
    x = 53,054.36

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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.