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Finding the Third Proportional to 12,969 and 30,262.50

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Solution

The third proportional to 12,969 and 30,262.50 is: 70,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 30,262.50 = 30,262.50 : x
  2. Step 2: Convert to fraction form
    12,969/30,262.50 = 30,262.50/x
  3. Step 3: Cross multiply
    12,969x = 30,262.50 × 30,262.50
  4. Step 4: Simplify right side
    12,969x = 915,818,906.25
  5. Step 5: Solve for x
    x = 915,818,906.25/12,969
  6. Step 6: Final answer
    x = 70,616.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.