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Finding the Third Proportional to 24,063.50 and 38,769

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Solution

The third proportional to 24,063.50 and 38,769 is: 62,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.50 : 38,769 = 38,769 : x
  2. Step 2: Convert to fraction form
    24,063.50/38,769 = 38,769/x
  3. Step 3: Cross multiply
    24,063.50x = 38,769 × 38,769
  4. Step 4: Simplify right side
    24,063.50x = 1,503,035,361
  5. Step 5: Solve for x
    x = 1,503,035,361/24,063.50
  6. Step 6: Final answer
    x = 62,461.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.