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Finding the Third Proportional to 12,924 and 28,770.75

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Solution

The third proportional to 12,924 and 28,770.75 is: 64,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924 : 28,770.75 = 28,770.75 : x
  2. Step 2: Convert to fraction form
    12,924/28,770.75 = 28,770.75/x
  3. Step 3: Cross multiply
    12,924x = 28,770.75 × 28,770.75
  4. Step 4: Simplify right side
    12,924x = 827,756,055.56
  5. Step 5: Solve for x
    x = 827,756,055.56/12,924
  6. Step 6: Final answer
    x = 64,047.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.